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Finding the Fourth Proportional to 71,147, 106,755.18 and 47,727.32

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Solution

The fourth proportional to 71,147, 106,755.18 and 47,727.32 is: 71,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,147 : 106,755.18 = 47,727.32 : x
  2. Step 2: Convert to fraction form
    71,147/106,755.18 = 47,727.32/x
  3. Step 3: Cross multiply
    71,147x = 106,755.18 × 47,727.32
  4. Step 4: Simplify right side
    71,147x = 5,095,138,637.52
  5. Step 5: Solve for x
    x = 5,095,138,637.52/71,147
  6. Step 6: Final answer
    x = 71,614.24

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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.