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Finding the Fourth Proportional to 121,652.50, 167,954.57 and 83,474.77

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Solution

The fourth proportional to 121,652.50, 167,954.57 and 83,474.77 is: 115,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,652.50 : 167,954.57 = 83,474.77 : x
  2. Step 2: Convert to fraction form
    121,652.50/167,954.57 = 83,474.77/x
  3. Step 3: Cross multiply
    121,652.50x = 167,954.57 × 83,474.77
  4. Step 4: Simplify right side
    121,652.50x = 14,019,969,101.20
  5. Step 5: Solve for x
    x = 14,019,969,101.20/121,652.50
  6. Step 6: Final answer
    x = 115,246.04

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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.