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Finding the Fourth Proportional to 218,650.32, 301,738.50 and 123,158.52

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Solution

The fourth proportional to 218,650.32, 301,738.50 and 123,158.52 is: 169,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,650.32 : 301,738.50 = 123,158.52 : x
  2. Step 2: Convert to fraction form
    218,650.32/301,738.50 = 123,158.52/x
  3. Step 3: Cross multiply
    218,650.32x = 301,738.50 × 123,158.52
  4. Step 4: Simplify right side
    218,650.32x = 37,161,667,087.02
  5. Step 5: Solve for x
    x = 37,161,667,087.02/218,650.32
  6. Step 6: Final answer
    x = 169,959.35

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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.