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Finding the Fourth Proportional to 115,894.92, 159,929.46 and 71,174.28

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Solution

The fourth proportional to 115,894.92, 159,929.46 and 71,174.28 is: 98,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,894.92 : 159,929.46 = 71,174.28 : x
  2. Step 2: Convert to fraction form
    115,894.92/159,929.46 = 71,174.28/x
  3. Step 3: Cross multiply
    115,894.92x = 159,929.46 × 71,174.28
  4. Step 4: Simplify right side
    115,894.92x = 11,382,864,166.29
  5. Step 5: Solve for x
    x = 11,382,864,166.29/115,894.92
  6. Step 6: Final answer
    x = 98,217.11

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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.