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Finding the Fourth Proportional to 83,142, 124,714.08 and 27,738

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Solution

The fourth proportional to 83,142, 124,714.08 and 27,738 is: 41,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,142 : 124,714.08 = 27,738 : x
  2. Step 2: Convert to fraction form
    83,142/124,714.08 = 27,738/x
  3. Step 3: Cross multiply
    83,142x = 124,714.08 × 27,738
  4. Step 4: Simplify right side
    83,142x = 3,459,319,151.04
  5. Step 5: Solve for x
    x = 3,459,319,151.04/83,142
  6. Step 6: Final answer
    x = 41,607.36

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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.