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Finding the Fourth Proportional to 84,164.27, 116,157.95 and 81,394.98

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Solution

The fourth proportional to 84,164.27, 116,157.95 and 81,394.98 is: 112,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,164.27 : 116,157.95 = 81,394.98 : x
  2. Step 2: Convert to fraction form
    84,164.27/116,157.95 = 81,394.98/x
  3. Step 3: Cross multiply
    84,164.27x = 116,157.95 × 81,394.98
  4. Step 4: Simplify right side
    84,164.27x = 9,454,673,479.75
  5. Step 5: Solve for x
    x = 9,454,673,479.75/84,164.27
  6. Step 6: Final answer
    x = 112,335.96

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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.