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Finding the Fourth Proportional to 83,856.56, 115,724.16 and 45,618.26

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Solution

The fourth proportional to 83,856.56, 115,724.16 and 45,618.26 is: 62,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,856.56 : 115,724.16 = 45,618.26 : x
  2. Step 2: Convert to fraction form
    83,856.56/115,724.16 = 45,618.26/x
  3. Step 3: Cross multiply
    83,856.56x = 115,724.16 × 45,618.26
  4. Step 4: Simplify right side
    83,856.56x = 5,279,135,108.47
  5. Step 5: Solve for x
    x = 5,279,135,108.47/83,856.56
  6. Step 6: Final answer
    x = 62,954.35

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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.