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Finding the Fourth Proportional to 169,428.28, 254,158.14 and 120,944.56

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Solution

The fourth proportional to 169,428.28, 254,158.14 and 120,944.56 is: 181,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,428.28 : 254,158.14 = 120,944.56 : x
  2. Step 2: Convert to fraction form
    169,428.28/254,158.14 = 120,944.56/x
  3. Step 3: Cross multiply
    169,428.28x = 254,158.14 × 120,944.56
  4. Step 4: Simplify right side
    169,428.28x = 30,739,044,412.72
  5. Step 5: Solve for x
    x = 30,739,044,412.72/169,428.28
  6. Step 6: Final answer
    x = 181,428.06

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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.