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Finding the Fourth Proportional to 115,640.43, 159,610.41 and 75,283.88

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Solution

The fourth proportional to 115,640.43, 159,610.41 and 75,283.88 is: 103,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,640.43 : 159,610.41 = 75,283.88 : x
  2. Step 2: Convert to fraction form
    115,640.43/159,610.41 = 75,283.88/x
  3. Step 3: Cross multiply
    115,640.43x = 159,610.41 × 75,283.88
  4. Step 4: Simplify right side
    115,640.43x = 12,016,090,155.14
  5. Step 5: Solve for x
    x = 12,016,090,155.14/115,640.43
  6. Step 6: Final answer
    x = 103,909.08

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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.