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Finding the Fourth Proportional to 83,665.85, 115,426.02 and 47,836.64

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Solution

The fourth proportional to 83,665.85, 115,426.02 and 47,836.64 is: 65,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,665.85 : 115,426.02 = 47,836.64 : x
  2. Step 2: Convert to fraction form
    83,665.85/115,426.02 = 47,836.64/x
  3. Step 3: Cross multiply
    83,665.85x = 115,426.02 × 47,836.64
  4. Step 4: Simplify right side
    83,665.85x = 5,521,592,388.24
  5. Step 5: Solve for x
    x = 5,521,592,388.24/83,665.85
  6. Step 6: Final answer
    x = 65,995.78

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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.