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Finding the Fourth Proportional to 91,545, 137,318.34 and 36,141

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Solution

The fourth proportional to 91,545, 137,318.34 and 36,141 is: 54,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,545 : 137,318.34 = 36,141 : x
  2. Step 2: Convert to fraction form
    91,545/137,318.34 = 36,141/x
  3. Step 3: Cross multiply
    91,545x = 137,318.34 × 36,141
  4. Step 4: Simplify right side
    91,545x = 4,962,822,125.94
  5. Step 5: Solve for x
    x = 4,962,822,125.94/91,545
  6. Step 6: Final answer
    x = 54,211.83

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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.