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Finding the Fourth Proportional to 82,657.40, 123,986.10 and 43,226.60

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Solution

The fourth proportional to 82,657.40, 123,986.10 and 43,226.60 is: 64,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,657.40 : 123,986.10 = 43,226.60 : x
  2. Step 2: Convert to fraction form
    82,657.40/123,986.10 = 43,226.60/x
  3. Step 3: Cross multiply
    82,657.40x = 123,986.10 × 43,226.60
  4. Step 4: Simplify right side
    82,657.40x = 5,359,497,550.26
  5. Step 5: Solve for x
    x = 5,359,497,550.26/82,657.40
  6. Step 6: Final answer
    x = 64,839.90

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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.