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Finding the Fourth Proportional to 76,213.92, 105,117.42 and 66,766.08

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Solution

The fourth proportional to 76,213.92, 105,117.42 and 66,766.08 is: 92,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,213.92 : 105,117.42 = 66,766.08 : x
  2. Step 2: Convert to fraction form
    76,213.92/105,117.42 = 66,766.08/x
  3. Step 3: Cross multiply
    76,213.92x = 105,117.42 × 66,766.08
  4. Step 4: Simplify right side
    76,213.92x = 7,018,278,073.11
  5. Step 5: Solve for x
    x = 7,018,278,073.11/76,213.92
  6. Step 6: Final answer
    x = 92,086.56

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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.