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Finding the Fourth Proportional to 121,082.43, 181,621.80 and 54,475.51

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Solution

The fourth proportional to 121,082.43, 181,621.80 and 54,475.51 is: 81,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,082.43 : 181,621.80 = 54,475.51 : x
  2. Step 2: Convert to fraction form
    121,082.43/181,621.80 = 54,475.51/x
  3. Step 3: Cross multiply
    121,082.43x = 181,621.80 × 54,475.51
  4. Step 4: Simplify right side
    121,082.43x = 9,893,940,182.12
  5. Step 5: Solve for x
    x = 9,893,940,182.12/121,082.43
  6. Step 6: Final answer
    x = 81,712.43

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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.