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Finding the Fourth Proportional to 82,275.40, 123,399.90 and 29,657.80

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Solution

The fourth proportional to 82,275.40, 123,399.90 and 29,657.80 is: 44,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,275.40 : 123,399.90 = 29,657.80 : x
  2. Step 2: Convert to fraction form
    82,275.40/123,399.90 = 29,657.80/x
  3. Step 3: Cross multiply
    82,275.40x = 123,399.90 × 29,657.80
  4. Step 4: Simplify right side
    82,275.40x = 3,659,769,554.22
  5. Step 5: Solve for x
    x = 3,659,769,554.22/82,275.40
  6. Step 6: Final answer
    x = 44,481.94

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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.