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Finding the Fourth Proportional to 83,909.34, 115,735.92 and 55,219.83

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Solution

The fourth proportional to 83,909.34, 115,735.92 and 55,219.83 is: 76,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,909.34 : 115,735.92 = 55,219.83 : x
  2. Step 2: Convert to fraction form
    83,909.34/115,735.92 = 55,219.83/x
  3. Step 3: Cross multiply
    83,909.34x = 115,735.92 × 55,219.83
  4. Step 4: Simplify right side
    83,909.34x = 6,390,917,827.29
  5. Step 5: Solve for x
    x = 6,390,917,827.29/83,909.34
  6. Step 6: Final answer
    x = 76,164.56

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1.5x scale

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.