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Finding the Fourth Proportional to 78,377.49, 108,177.98 and 48,188.66

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Solution

The fourth proportional to 78,377.49, 108,177.98 and 48,188.66 is: 66,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,377.49 : 108,177.98 = 48,188.66 : x
  2. Step 2: Convert to fraction form
    78,377.49/108,177.98 = 48,188.66/x
  3. Step 3: Cross multiply
    78,377.49x = 108,177.98 × 48,188.66
  4. Step 4: Simplify right side
    78,377.49x = 5,212,951,115.87
  5. Step 5: Solve for x
    x = 5,212,951,115.87/78,377.49
  6. Step 6: Final answer
    x = 66,510.82

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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.