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Finding the Fourth Proportional to 87,042.40, 130,412.40 and 40,199.20

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Solution

The fourth proportional to 87,042.40, 130,412.40 and 40,199.20 is: 60,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,042.40 : 130,412.40 = 40,199.20 : x
  2. Step 2: Convert to fraction form
    87,042.40/130,412.40 = 40,199.20/x
  3. Step 3: Cross multiply
    87,042.40x = 130,412.40 × 40,199.20
  4. Step 4: Simplify right side
    87,042.40x = 5,242,474,150.08
  5. Step 5: Solve for x
    x = 5,242,474,150.08/87,042.40
  6. Step 6: Final answer
    x = 60,228.97

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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.