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Finding the Fourth Proportional to 102,087.20, 152,839.20 and 78,564.80

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Solution

The fourth proportional to 102,087.20, 152,839.20 and 78,564.80 is: 117,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087.20 : 152,839.20 = 78,564.80 : x
  2. Step 2: Convert to fraction form
    102,087.20/152,839.20 = 78,564.80/x
  3. Step 3: Cross multiply
    102,087.20x = 152,839.20 × 78,564.80
  4. Step 4: Simplify right side
    102,087.20x = 12,007,781,180.16
  5. Step 5: Solve for x
    x = 12,007,781,180.16/102,087.20
  6. Step 6: Final answer
    x = 117,622.79

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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.