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Finding the Fourth Proportional to 121,456, 182,278.08 and 84,277.12

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Solution

The fourth proportional to 121,456, 182,278.08 and 84,277.12 is: 126,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,456 : 182,278.08 = 84,277.12 : x
  2. Step 2: Convert to fraction form
    121,456/182,278.08 = 84,277.12/x
  3. Step 3: Cross multiply
    121,456x = 182,278.08 × 84,277.12
  4. Step 4: Simplify right side
    121,456x = 15,361,871,621.53
  5. Step 5: Solve for x
    x = 15,361,871,621.53/121,456
  6. Step 6: Final answer
    x = 126,480.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.