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Finding the Fourth Proportional to 78,122.90, 117,189.87 and 38,669.42

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Solution

The fourth proportional to 78,122.90, 117,189.87 and 38,669.42 is: 58,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122.90 : 117,189.87 = 38,669.42 : x
  2. Step 2: Convert to fraction form
    78,122.90/117,189.87 = 38,669.42/x
  3. Step 3: Cross multiply
    78,122.90x = 117,189.87 × 38,669.42
  4. Step 4: Simplify right side
    78,122.90x = 4,531,664,595.75
  5. Step 5: Solve for x
    x = 4,531,664,595.75/78,122.90
  6. Step 6: Final answer
    x = 58,006.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.