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Finding the Fourth Proportional to 42,207.60, 63,311.40 and 15,913.20

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Solution

The fourth proportional to 42,207.60, 63,311.40 and 15,913.20 is: 23,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,207.60 : 63,311.40 = 15,913.20 : x
  2. Step 2: Convert to fraction form
    42,207.60/63,311.40 = 15,913.20/x
  3. Step 3: Cross multiply
    42,207.60x = 63,311.40 × 15,913.20
  4. Step 4: Simplify right side
    42,207.60x = 1,007,486,970.48
  5. Step 5: Solve for x
    x = 1,007,486,970.48/42,207.60
  6. Step 6: Final answer
    x = 23,869.80

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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.