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Finding the Fourth Proportional to 78,241.60, 107,974.40 and 42,432

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Solution

The fourth proportional to 78,241.60, 107,974.40 and 42,432 is: 58,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,241.60 : 107,974.40 = 42,432 : x
  2. Step 2: Convert to fraction form
    78,241.60/107,974.40 = 42,432/x
  3. Step 3: Cross multiply
    78,241.60x = 107,974.40 × 42,432
  4. Step 4: Simplify right side
    78,241.60x = 4,581,569,740.80
  5. Step 5: Solve for x
    x = 4,581,569,740.80/78,241.60
  6. Step 6: Final answer
    x = 58,556.70

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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.