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Finding the Fourth Proportional to 91,805.80, 137,600.70 and 52,400.20

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Solution

The fourth proportional to 91,805.80, 137,600.70 and 52,400.20 is: 78,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,805.80 : 137,600.70 = 52,400.20 : x
  2. Step 2: Convert to fraction form
    91,805.80/137,600.70 = 52,400.20/x
  3. Step 3: Cross multiply
    91,805.80x = 137,600.70 × 52,400.20
  4. Step 4: Simplify right side
    91,805.80x = 7,210,304,200.14
  5. Step 5: Solve for x
    x = 7,210,304,200.14/91,805.80
  6. Step 6: Final answer
    x = 78,538.66

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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.