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Finding the Fourth Proportional to 83,146, 124,720.08 and 27,742

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Solution

The fourth proportional to 83,146, 124,720.08 and 27,742 is: 41,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,146 : 124,720.08 = 27,742 : x
  2. Step 2: Convert to fraction form
    83,146/124,720.08 = 27,742/x
  3. Step 3: Cross multiply
    83,146x = 124,720.08 × 27,742
  4. Step 4: Simplify right side
    83,146x = 3,459,984,459.36
  5. Step 5: Solve for x
    x = 3,459,984,459.36/83,146
  6. Step 6: Final answer
    x = 41,613.36

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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.