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Finding the Fourth Proportional to 115,898.92, 159,934.98 and 71,178.28

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Solution

The fourth proportional to 115,898.92, 159,934.98 and 71,178.28 is: 98,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,898.92 : 159,934.98 = 71,178.28 : x
  2. Step 2: Convert to fraction form
    115,898.92/159,934.98 = 71,178.28/x
  3. Step 3: Cross multiply
    115,898.92x = 159,934.98 × 71,178.28
  4. Step 4: Simplify right side
    115,898.92x = 11,383,896,788.23
  5. Step 5: Solve for x
    x = 11,383,896,788.23/115,898.92
  6. Step 6: Final answer
    x = 98,222.63

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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.