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Finding the Fourth Proportional to 71,724, 98,979.12 and 41,916

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Solution

The fourth proportional to 71,724, 98,979.12 and 41,916 is: 57,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724 : 98,979.12 = 41,916 : x
  2. Step 2: Convert to fraction form
    71,724/98,979.12 = 41,916/x
  3. Step 3: Cross multiply
    71,724x = 98,979.12 × 41,916
  4. Step 4: Simplify right side
    71,724x = 4,148,808,793.92
  5. Step 5: Solve for x
    x = 4,148,808,793.92/71,724
  6. Step 6: Final answer
    x = 57,844.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.