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Finding the Fourth Proportional to 109,659.92, 164,478.81 and 74,347.97

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Solution

The fourth proportional to 109,659.92, 164,478.81 and 74,347.97 is: 111,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,659.92 : 164,478.81 = 74,347.97 : x
  2. Step 2: Convert to fraction form
    109,659.92/164,478.81 = 74,347.97/x
  3. Step 3: Cross multiply
    109,659.92x = 164,478.81 × 74,347.97
  4. Step 4: Simplify right side
    109,659.92x = 12,228,665,631.52
  5. Step 5: Solve for x
    x = 12,228,665,631.52/109,659.92
  6. Step 6: Final answer
    x = 111,514.45

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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.