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Finding the Fourth Proportional to 71,142.72, 106,694.40 and 29,580.48

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Solution

The fourth proportional to 71,142.72, 106,694.40 and 29,580.48 is: 44,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,142.72 : 106,694.40 = 29,580.48 : x
  2. Step 2: Convert to fraction form
    71,142.72/106,694.40 = 29,580.48/x
  3. Step 3: Cross multiply
    71,142.72x = 106,694.40 × 29,580.48
  4. Step 4: Simplify right side
    71,142.72x = 3,156,071,565.31
  5. Step 5: Solve for x
    x = 3,156,071,565.31/71,142.72
  6. Step 6: Final answer
    x = 44,362.54

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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.