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Finding the Fourth Proportional to 285,193,076.80, 427,789,615.20 and 132,138,068.80

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Solution

The fourth proportional to 285,193,076.80, 427,789,615.20 and 132,138,068.80 is: 198,207,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,193,076.80 : 427,789,615.20 = 132,138,068.80 : x
  2. Step 2: Convert to fraction form
    285,193,076.80/427,789,615.20 = 132,138,068.80/x
  3. Step 3: Cross multiply
    285,193,076.80x = 427,789,615.20 × 132,138,068.80
  4. Step 4: Simplify right side
    285,193,076.80x = 56,527,293,605,223,120
  5. Step 5: Solve for x
    x = 56,527,293,605,223,120/285,193,076.80
  6. Step 6: Final answer
    x = 198,207,103.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.