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Finding the Fourth Proportional to 87,686.16, 120,978.24 and 53,659.20

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Solution

The fourth proportional to 87,686.16, 120,978.24 and 53,659.20 is: 74,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,686.16 : 120,978.24 = 53,659.20 : x
  2. Step 2: Convert to fraction form
    87,686.16/120,978.24 = 53,659.20/x
  3. Step 3: Cross multiply
    87,686.16x = 120,978.24 × 53,659.20
  4. Step 4: Simplify right side
    87,686.16x = 6,491,595,575.81
  5. Step 5: Solve for x
    x = 6,491,595,575.81/87,686.16
  6. Step 6: Final answer
    x = 74,032.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.