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Finding the Fourth Proportional to 87,454.60, 131,214.30 and 84,214.60

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Solution

The fourth proportional to 87,454.60, 131,214.30 and 84,214.60 is: 126,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,454.60 : 131,214.30 = 84,214.60 : x
  2. Step 2: Convert to fraction form
    87,454.60/131,214.30 = 84,214.60/x
  3. Step 3: Cross multiply
    87,454.60x = 131,214.30 × 84,214.60
  4. Step 4: Simplify right side
    87,454.60x = 11,050,159,788.78
  5. Step 5: Solve for x
    x = 11,050,159,788.78/87,454.60
  6. Step 6: Final answer
    x = 126,353.10

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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.