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Finding the Fourth Proportional to 115,761.61, 159,660.88 and 77,509

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Solution

The fourth proportional to 115,761.61, 159,660.88 and 77,509 is: 106,902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,761.61 : 159,660.88 = 77,509 : x
  2. Step 2: Convert to fraction form
    115,761.61/159,660.88 = 77,509/x
  3. Step 3: Cross multiply
    115,761.61x = 159,660.88 × 77,509
  4. Step 4: Simplify right side
    115,761.61x = 12,375,155,147.92
  5. Step 5: Solve for x
    x = 12,375,155,147.92/115,761.61
  6. Step 6: Final answer
    x = 106,902.06

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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.