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Finding the Fourth Proportional to 91,947.45, 137,851.02 and 47,545.86

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Solution

The fourth proportional to 91,947.45, 137,851.02 and 47,545.86 is: 71,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,947.45 : 137,851.02 = 47,545.86 : x
  2. Step 2: Convert to fraction form
    91,947.45/137,851.02 = 47,545.86/x
  3. Step 3: Cross multiply
    91,947.45x = 137,851.02 × 47,545.86
  4. Step 4: Simplify right side
    91,947.45x = 6,554,245,297.78
  5. Step 5: Solve for x
    x = 6,554,245,297.78/91,947.45
  6. Step 6: Final answer
    x = 71,282.51

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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.