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Finding the Fourth Proportional to 282,863.62, 424,235.73 and 83,129.80

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Solution

The fourth proportional to 282,863.62, 424,235.73 and 83,129.80 is: 124,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,863.62 : 424,235.73 = 83,129.80 : x
  2. Step 2: Convert to fraction form
    282,863.62/424,235.73 = 83,129.80/x
  3. Step 3: Cross multiply
    282,863.62x = 424,235.73 × 83,129.80
  4. Step 4: Simplify right side
    282,863.62x = 35,266,631,387.75
  5. Step 5: Solve for x
    x = 35,266,631,387.75/282,863.62
  6. Step 6: Final answer
    x = 124,677.15

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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.