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Finding the Fourth Proportional to 71,292.72, 106,917.48 and 29,730

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Solution

The fourth proportional to 71,292.72, 106,917.48 and 29,730 is: 44,585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,292.72 : 106,917.48 = 29,730 : x
  2. Step 2: Convert to fraction form
    71,292.72/106,917.48 = 29,730/x
  3. Step 3: Cross multiply
    71,292.72x = 106,917.48 × 29,730
  4. Step 4: Simplify right side
    71,292.72x = 3,178,656,680.40
  5. Step 5: Solve for x
    x = 3,178,656,680.40/71,292.72
  6. Step 6: Final answer
    x = 44,585.99

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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.