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Finding the Fourth Proportional to 140,897.92, 194,475.88 and 87,151.68

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Solution

The fourth proportional to 140,897.92, 194,475.88 and 87,151.68 is: 120,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,897.92 : 194,475.88 = 87,151.68 : x
  2. Step 2: Convert to fraction form
    140,897.92/194,475.88 = 87,151.68/x
  3. Step 3: Cross multiply
    140,897.92x = 194,475.88 × 87,151.68
  4. Step 4: Simplify right side
    140,897.92x = 16,948,899,661.48
  5. Step 5: Solve for x
    x = 16,948,899,661.48/140,897.92
  6. Step 6: Final answer
    x = 120,292.05

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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.