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Finding the Fourth Proportional to 78,655.78, 108,545.26 and 42,845.44

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Solution

The fourth proportional to 78,655.78, 108,545.26 and 42,845.44 is: 59,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,655.78 : 108,545.26 = 42,845.44 : x
  2. Step 2: Convert to fraction form
    78,655.78/108,545.26 = 42,845.44/x
  3. Step 3: Cross multiply
    78,655.78x = 108,545.26 × 42,845.44
  4. Step 4: Simplify right side
    78,655.78x = 4,650,669,424.61
  5. Step 5: Solve for x
    x = 4,650,669,424.61/78,655.78
  6. Step 6: Final answer
    x = 59,126.86

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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.