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Finding the Fourth Proportional to 104,714.28, 156,978.45 and 38,142

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Solution

The fourth proportional to 104,714.28, 156,978.45 and 38,142 is: 57,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,714.28 : 156,978.45 = 38,142 : x
  2. Step 2: Convert to fraction form
    104,714.28/156,978.45 = 38,142/x
  3. Step 3: Cross multiply
    104,714.28x = 156,978.45 × 38,142
  4. Step 4: Simplify right side
    104,714.28x = 5,987,472,039.90
  5. Step 5: Solve for x
    x = 5,987,472,039.90/104,714.28
  6. Step 6: Final answer
    x = 57,179.14

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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.