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Finding the Fourth Proportional to 91,279.46, 136,586.13 and 53,857.46

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Solution

The fourth proportional to 91,279.46, 136,586.13 and 53,857.46 is: 80,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,279.46 : 136,586.13 = 53,857.46 : x
  2. Step 2: Convert to fraction form
    91,279.46/136,586.13 = 53,857.46/x
  3. Step 3: Cross multiply
    91,279.46x = 136,586.13 × 53,857.46
  4. Step 4: Simplify right side
    91,279.46x = 7,356,182,033.03
  5. Step 5: Solve for x
    x = 7,356,182,033.03/91,279.46
  6. Step 6: Final answer
    x = 80,589.68

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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.