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Finding the Fourth Proportional to 140,902.92, 194,482.78 and 87,156.68

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Solution

The fourth proportional to 140,902.92, 194,482.78 and 87,156.68 is: 120,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,902.92 : 194,482.78 = 87,156.68 : x
  2. Step 2: Convert to fraction form
    140,902.92/194,482.78 = 87,156.68/x
  3. Step 3: Cross multiply
    140,902.92x = 194,482.78 × 87,156.68
  4. Step 4: Simplify right side
    140,902.92x = 16,950,473,421.97
  5. Step 5: Solve for x
    x = 16,950,473,421.97/140,902.92
  6. Step 6: Final answer
    x = 120,298.95

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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.