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Finding the Fourth Proportional to 83,074.64, 114,670.34 and 66,110

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Solution

The fourth proportional to 83,074.64, 114,670.34 and 66,110 is: 91,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074.64 : 114,670.34 = 66,110 : x
  2. Step 2: Convert to fraction form
    83,074.64/114,670.34 = 66,110/x
  3. Step 3: Cross multiply
    83,074.64x = 114,670.34 × 66,110
  4. Step 4: Simplify right side
    83,074.64x = 7,580,856,177.40
  5. Step 5: Solve for x
    x = 7,580,856,177.40/83,074.64
  6. Step 6: Final answer
    x = 91,253.55

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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.