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Finding the Fourth Proportional to 115,747.80, 159,731.10 and 65,448.60

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Solution

The fourth proportional to 115,747.80, 159,731.10 and 65,448.60 is: 90,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,747.80 : 159,731.10 = 65,448.60 : x
  2. Step 2: Convert to fraction form
    115,747.80/159,731.10 = 65,448.60/x
  3. Step 3: Cross multiply
    115,747.80x = 159,731.10 × 65,448.60
  4. Step 4: Simplify right side
    115,747.80x = 10,454,176,871.46
  5. Step 5: Solve for x
    x = 10,454,176,871.46/115,747.80
  6. Step 6: Final answer
    x = 90,318.58

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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.