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Finding the Fourth Proportional to 105,864,148.80, 148,512,139.20 and 105,864,148.80

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Solution

The fourth proportional to 105,864,148.80, 148,512,139.20 and 105,864,148.80 is: 148,512,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,864,148.80 : 148,512,139.20 = 105,864,148.80 : x
  2. Step 2: Convert to fraction form
    105,864,148.80/148,512,139.20 = 105,864,148.80/x
  3. Step 3: Cross multiply
    105,864,148.80x = 148,512,139.20 × 105,864,148.80
  4. Step 4: Simplify right side
    105,864,148.80x = 15,722,111,202,875,112
  5. Step 5: Solve for x
    x = 15,722,111,202,875,112/105,864,148.80
  6. Step 6: Final answer
    x = 148,512,139.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.