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Finding the Fourth Proportional to 82,578.39, 123,849.13 and 40,416.22

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Solution

The fourth proportional to 82,578.39, 123,849.13 and 40,416.22 is: 60,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,578.39 : 123,849.13 = 40,416.22 : x
  2. Step 2: Convert to fraction form
    82,578.39/123,849.13 = 40,416.22/x
  3. Step 3: Cross multiply
    82,578.39x = 123,849.13 × 40,416.22
  4. Step 4: Simplify right side
    82,578.39x = 5,005,513,004.12
  5. Step 5: Solve for x
    x = 5,005,513,004.12/82,578.39
  6. Step 6: Final answer
    x = 60,615.29

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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.