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Finding the Fourth Proportional to 56,478.87, 84,689.37 and 29,839.16

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Solution

The fourth proportional to 56,478.87, 84,689.37 and 29,839.16 is: 44,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,478.87 : 84,689.37 = 29,839.16 : x
  2. Step 2: Convert to fraction form
    56,478.87/84,689.37 = 29,839.16/x
  3. Step 3: Cross multiply
    56,478.87x = 84,689.37 × 29,839.16
  4. Step 4: Simplify right side
    56,478.87x = 2,527,059,089.09
  5. Step 5: Solve for x
    x = 2,527,059,089.09/56,478.87
  6. Step 6: Final answer
    x = 44,743.45

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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.