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Finding the Fourth Proportional to 140,407.84, 193,892.88 and 90,195.04

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Solution

The fourth proportional to 140,407.84, 193,892.88 and 90,195.04 is: 124,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,407.84 : 193,892.88 = 90,195.04 : x
  2. Step 2: Convert to fraction form
    140,407.84/193,892.88 = 90,195.04/x
  3. Step 3: Cross multiply
    140,407.84x = 193,892.88 × 90,195.04
  4. Step 4: Simplify right side
    140,407.84x = 17,488,176,067.32
  5. Step 5: Solve for x
    x = 17,488,176,067.32/140,407.84
  6. Step 6: Final answer
    x = 124,552.70

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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.