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Finding the Fourth Proportional to 78,493.70, 117,740.55 and 75,431.90

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Solution

The fourth proportional to 78,493.70, 117,740.55 and 75,431.90 is: 113,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,493.70 : 117,740.55 = 75,431.90 : x
  2. Step 2: Convert to fraction form
    78,493.70/117,740.55 = 75,431.90/x
  3. Step 3: Cross multiply
    78,493.70x = 117,740.55 × 75,431.90
  4. Step 4: Simplify right side
    78,493.70x = 8,881,393,393.55
  5. Step 5: Solve for x
    x = 8,881,393,393.55/78,493.70
  6. Step 6: Final answer
    x = 113,147.85

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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.