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Finding the Fourth Proportional to 87,201.60, 130,456.80 and 75,643.20

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Solution

The fourth proportional to 87,201.60, 130,456.80 and 75,643.20 is: 113,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,201.60 : 130,456.80 = 75,643.20 : x
  2. Step 2: Convert to fraction form
    87,201.60/130,456.80 = 75,643.20/x
  3. Step 3: Cross multiply
    87,201.60x = 130,456.80 × 75,643.20
  4. Step 4: Simplify right side
    87,201.60x = 9,868,169,813.76
  5. Step 5: Solve for x
    x = 9,868,169,813.76/87,201.60
  6. Step 6: Final answer
    x = 113,165.01

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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.