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Finding the Fourth Proportional to 87,101.52, 130,652.34 and 57,512.40

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Solution

The fourth proportional to 87,101.52, 130,652.34 and 57,512.40 is: 86,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,101.52 : 130,652.34 = 57,512.40 : x
  2. Step 2: Convert to fraction form
    87,101.52/130,652.34 = 57,512.40/x
  3. Step 3: Cross multiply
    87,101.52x = 130,652.34 × 57,512.40
  4. Step 4: Simplify right side
    87,101.52x = 7,514,129,639.02
  5. Step 5: Solve for x
    x = 7,514,129,639.02/87,101.52
  6. Step 6: Final answer
    x = 86,268.64

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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.