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Finding the Fourth Proportional to 77,098.30, 115,568.66 and 43,747.92

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Solution

The fourth proportional to 77,098.30, 115,568.66 and 43,747.92 is: 65,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,098.30 : 115,568.66 = 43,747.92 : x
  2. Step 2: Convert to fraction form
    77,098.30/115,568.66 = 43,747.92/x
  3. Step 3: Cross multiply
    77,098.30x = 115,568.66 × 43,747.92
  4. Step 4: Simplify right side
    77,098.30x = 5,055,888,601.56
  5. Step 5: Solve for x
    x = 5,055,888,601.56/77,098.30
  6. Step 6: Final answer
    x = 65,577.18

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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.