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Finding the Fourth Proportional to 78,228.42, 107,961.36 and 66,061.86

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Solution

The fourth proportional to 78,228.42, 107,961.36 and 66,061.86 is: 91,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,228.42 : 107,961.36 = 66,061.86 : x
  2. Step 2: Convert to fraction form
    78,228.42/107,961.36 = 66,061.86/x
  3. Step 3: Cross multiply
    78,228.42x = 107,961.36 × 66,061.86
  4. Step 4: Simplify right side
    78,228.42x = 7,132,128,249.73
  5. Step 5: Solve for x
    x = 7,132,128,249.73/78,228.42
  6. Step 6: Final answer
    x = 91,170.55

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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.