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Finding the Fourth Proportional to 84,071.79, 126,107.42 and 27,916.16

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Solution

The fourth proportional to 84,071.79, 126,107.42 and 27,916.16 is: 41,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,071.79 : 126,107.42 = 27,916.16 : x
  2. Step 2: Convert to fraction form
    84,071.79/126,107.42 = 27,916.16/x
  3. Step 3: Cross multiply
    84,071.79x = 126,107.42 × 27,916.16
  4. Step 4: Simplify right side
    84,071.79x = 3,520,434,143.79
  5. Step 5: Solve for x
    x = 3,520,434,143.79/84,071.79
  6. Step 6: Final answer
    x = 41,874.14

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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.