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Finding the Fourth Proportional to 87,165.60, 130,834.80 and 42,842.40

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Solution

The fourth proportional to 87,165.60, 130,834.80 and 42,842.40 is: 64,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,165.60 : 130,834.80 = 42,842.40 : x
  2. Step 2: Convert to fraction form
    87,165.60/130,834.80 = 42,842.40/x
  3. Step 3: Cross multiply
    87,165.60x = 130,834.80 × 42,842.40
  4. Step 4: Simplify right side
    87,165.60x = 5,605,276,835.52
  5. Step 5: Solve for x
    x = 5,605,276,835.52/87,165.60
  6. Step 6: Final answer
    x = 64,306.07

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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.