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Finding the Fourth Proportional to 285,996, 429,112.98 and 125,990.04

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Solution

The fourth proportional to 285,996, 429,112.98 and 125,990.04 is: 189,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,996 : 429,112.98 = 125,990.04 : x
  2. Step 2: Convert to fraction form
    285,996/429,112.98 = 125,990.04/x
  3. Step 3: Cross multiply
    285,996x = 429,112.98 × 125,990.04
  4. Step 4: Simplify right side
    285,996x = 54,063,961,514.72
  5. Step 5: Solve for x
    x = 54,063,961,514.72/285,996
  6. Step 6: Final answer
    x = 189,037.47

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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.