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Finding the Fourth Proportional to 56,614.92, 78,129 and 31,121.76

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Solution

The fourth proportional to 56,614.92, 78,129 and 31,121.76 is: 42,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,614.92 : 78,129 = 31,121.76 : x
  2. Step 2: Convert to fraction form
    56,614.92/78,129 = 31,121.76/x
  3. Step 3: Cross multiply
    56,614.92x = 78,129 × 31,121.76
  4. Step 4: Simplify right side
    56,614.92x = 2,431,511,987.04
  5. Step 5: Solve for x
    x = 2,431,511,987.04/56,614.92
  6. Step 6: Final answer
    x = 42,948.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.