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Finding the Fourth Proportional to 56,424.50, 77,871.48 and 31,278.86

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Solution

The fourth proportional to 56,424.50, 77,871.48 and 31,278.86 is: 43,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,424.50 : 77,871.48 = 31,278.86 : x
  2. Step 2: Convert to fraction form
    56,424.50/77,871.48 = 31,278.86/x
  3. Step 3: Cross multiply
    56,424.50x = 77,871.48 × 31,278.86
  4. Step 4: Simplify right side
    56,424.50x = 2,435,731,120.91
  5. Step 5: Solve for x
    x = 2,435,731,120.91/56,424.50
  6. Step 6: Final answer
    x = 43,167.97

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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.