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Finding the Fourth Proportional to 91,811.80, 137,717.70 and 49,821.40

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Solution

The fourth proportional to 91,811.80, 137,717.70 and 49,821.40 is: 74,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,811.80 : 137,717.70 = 49,821.40 : x
  2. Step 2: Convert to fraction form
    91,811.80/137,717.70 = 49,821.40/x
  3. Step 3: Cross multiply
    91,811.80x = 137,717.70 × 49,821.40
  4. Step 4: Simplify right side
    91,811.80x = 6,861,288,618.78
  5. Step 5: Solve for x
    x = 6,861,288,618.78/91,811.80
  6. Step 6: Final answer
    x = 74,732.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.