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Finding the Fourth Proportional to 78,770.52, 108,683.91 and 48,135.78

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Solution

The fourth proportional to 78,770.52, 108,683.91 and 48,135.78 is: 66,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,770.52 : 108,683.91 = 48,135.78 : x
  2. Step 2: Convert to fraction form
    78,770.52/108,683.91 = 48,135.78/x
  3. Step 3: Cross multiply
    78,770.52x = 108,683.91 × 48,135.78
  4. Step 4: Simplify right side
    78,770.52x = 5,231,584,781.30
  5. Step 5: Solve for x
    x = 5,231,584,781.30/78,770.52
  6. Step 6: Final answer
    x = 66,415.52

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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.