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Finding the Fourth Proportional to 71,543.28, 107,289.72 and 29,411.04

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Solution

The fourth proportional to 71,543.28, 107,289.72 and 29,411.04 is: 44,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,543.28 : 107,289.72 = 29,411.04 : x
  2. Step 2: Convert to fraction form
    71,543.28/107,289.72 = 29,411.04/x
  3. Step 3: Cross multiply
    71,543.28x = 107,289.72 × 29,411.04
  4. Step 4: Simplify right side
    71,543.28x = 3,155,502,246.51
  5. Step 5: Solve for x
    x = 3,155,502,246.51/71,543.28
  6. Step 6: Final answer
    x = 44,106.20

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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.