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Finding the Fourth Proportional to 76,472.97, 105,503.22 and 56,377.56

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Solution

The fourth proportional to 76,472.97, 105,503.22 and 56,377.56 is: 77,779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,472.97 : 105,503.22 = 56,377.56 : x
  2. Step 2: Convert to fraction form
    76,472.97/105,503.22 = 56,377.56/x
  3. Step 3: Cross multiply
    76,472.97x = 105,503.22 × 56,377.56
  4. Step 4: Simplify right side
    76,472.97x = 5,948,014,115.74
  5. Step 5: Solve for x
    x = 5,948,014,115.74/76,472.97
  6. Step 6: Final answer
    x = 77,779.30

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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.