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Finding the Fourth Proportional to 83,856.55, 115,683.51 and 74,306.11

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Solution

The fourth proportional to 83,856.55, 115,683.51 and 74,306.11 is: 102,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,856.55 : 115,683.51 = 74,306.11 : x
  2. Step 2: Convert to fraction form
    83,856.55/115,683.51 = 74,306.11/x
  3. Step 3: Cross multiply
    83,856.55x = 115,683.51 × 74,306.11
  4. Step 4: Simplify right side
    83,856.55x = 8,595,991,619.25
  5. Step 5: Solve for x
    x = 8,595,991,619.25/83,856.55
  6. Step 6: Final answer
    x = 102,508.29

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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.