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Finding the Fourth Proportional to 78,770.31, 118,120.90 and 29,487.75

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Solution

The fourth proportional to 78,770.31, 118,120.90 and 29,487.75 is: 44,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,770.31 : 118,120.90 = 29,487.75 : x
  2. Step 2: Convert to fraction form
    78,770.31/118,120.90 = 29,487.75/x
  3. Step 3: Cross multiply
    78,770.31x = 118,120.90 × 29,487.75
  4. Step 4: Simplify right side
    78,770.31x = 3,483,119,568.98
  5. Step 5: Solve for x
    x = 3,483,119,568.98/78,770.31
  6. Step 6: Final answer
    x = 44,218.69

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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.