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Finding the Fourth Proportional to 141,098.66, 194,720.85 and 77,439.92

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Solution

The fourth proportional to 141,098.66, 194,720.85 and 77,439.92 is: 106,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,098.66 : 194,720.85 = 77,439.92 : x
  2. Step 2: Convert to fraction form
    141,098.66/194,720.85 = 77,439.92/x
  3. Step 3: Cross multiply
    141,098.66x = 194,720.85 × 77,439.92
  4. Step 4: Simplify right side
    141,098.66x = 15,079,167,046.33
  5. Step 5: Solve for x
    x = 15,079,167,046.33/141,098.66
  6. Step 6: Final answer
    x = 106,869.67

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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.