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Finding the Fourth Proportional to 91,777.49, 137,672.87 and 38,415.80

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Solution

The fourth proportional to 91,777.49, 137,672.87 and 38,415.80 is: 57,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,777.49 : 137,672.87 = 38,415.80 : x
  2. Step 2: Convert to fraction form
    91,777.49/137,672.87 = 38,415.80/x
  3. Step 3: Cross multiply
    91,777.49x = 137,672.87 × 38,415.80
  4. Step 4: Simplify right side
    91,777.49x = 5,288,813,591.45
  5. Step 5: Solve for x
    x = 5,288,813,591.45/91,777.49
  6. Step 6: Final answer
    x = 57,626.48

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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.