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Finding the Fourth Proportional to 82,412.87, 123,397.88 and 67,798.25

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Solution

The fourth proportional to 82,412.87, 123,397.88 and 67,798.25 is: 101,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,412.87 : 123,397.88 = 67,798.25 : x
  2. Step 2: Convert to fraction form
    82,412.87/123,397.88 = 67,798.25/x
  3. Step 3: Cross multiply
    82,412.87x = 123,397.88 × 67,798.25
  4. Step 4: Simplify right side
    82,412.87x = 8,366,159,361.73
  5. Step 5: Solve for x
    x = 8,366,159,361.73/82,412.87
  6. Step 6: Final answer
    x = 101,515.20

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1.5x scale

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.