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Finding the Fourth Proportional to 91,822.40, 137,474.40 and 89,230.40

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Solution

The fourth proportional to 91,822.40, 137,474.40 and 89,230.40 is: 133,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,822.40 : 137,474.40 = 89,230.40 : x
  2. Step 2: Convert to fraction form
    91,822.40/137,474.40 = 89,230.40/x
  3. Step 3: Cross multiply
    91,822.40x = 137,474.40 × 89,230.40
  4. Step 4: Simplify right side
    91,822.40x = 12,266,895,701.76
  5. Step 5: Solve for x
    x = 12,266,895,701.76/91,822.40
  6. Step 6: Final answer
    x = 133,593.72

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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.