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Finding the Fourth Proportional to 118,921.97, 164,119.97 and 78,565.04

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Solution

The fourth proportional to 118,921.97, 164,119.97 and 78,565.04 is: 108,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,921.97 : 164,119.97 = 78,565.04 : x
  2. Step 2: Convert to fraction form
    118,921.97/164,119.97 = 78,565.04/x
  3. Step 3: Cross multiply
    118,921.97x = 164,119.97 × 78,565.04
  4. Step 4: Simplify right side
    118,921.97x = 12,894,091,999.11
  5. Step 5: Solve for x
    x = 12,894,091,999.11/118,921.97
  6. Step 6: Final answer
    x = 108,424.81

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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.