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Finding the Fourth Proportional to 56,432.80, 77,871.76 and 31,281.76

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Solution

The fourth proportional to 56,432.80, 77,871.76 and 31,281.76 is: 43,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,432.80 : 77,871.76 = 31,281.76 : x
  2. Step 2: Convert to fraction form
    56,432.80/77,871.76 = 31,281.76/x
  3. Step 3: Cross multiply
    56,432.80x = 77,871.76 × 31,281.76
  4. Step 4: Simplify right side
    56,432.80x = 2,435,965,707.10
  5. Step 5: Solve for x
    x = 2,435,965,707.10/56,432.80
  6. Step 6: Final answer
    x = 43,165.78

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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.