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Finding the Fourth Proportional to 282,177.84, 423,279.72 and 71,817.60

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Solution

The fourth proportional to 282,177.84, 423,279.72 and 71,817.60 is: 107,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,177.84 : 423,279.72 = 71,817.60 : x
  2. Step 2: Convert to fraction form
    282,177.84/423,279.72 = 71,817.60/x
  3. Step 3: Cross multiply
    282,177.84x = 423,279.72 × 71,817.60
  4. Step 4: Simplify right side
    282,177.84x = 30,398,933,619.07
  5. Step 5: Solve for x
    x = 30,398,933,619.07/282,177.84
  6. Step 6: Final answer
    x = 107,729.70

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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.