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Finding the Fourth Proportional to 118,728.68, 163,844.70 and 65,013.28

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Solution

The fourth proportional to 118,728.68, 163,844.70 and 65,013.28 is: 89,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,728.68 : 163,844.70 = 65,013.28 : x
  2. Step 2: Convert to fraction form
    118,728.68/163,844.70 = 65,013.28/x
  3. Step 3: Cross multiply
    118,728.68x = 163,844.70 × 65,013.28
  4. Step 4: Simplify right side
    118,728.68x = 10,652,081,357.62
  5. Step 5: Solve for x
    x = 10,652,081,357.62/118,728.68
  6. Step 6: Final answer
    x = 89,717.85

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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.