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Finding the Fourth Proportional to 223,151.68, 307,951.50 and 122,549.68

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Solution

The fourth proportional to 223,151.68, 307,951.50 and 122,549.68 is: 169,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,151.68 : 307,951.50 = 122,549.68 : x
  2. Step 2: Convert to fraction form
    223,151.68/307,951.50 = 122,549.68/x
  3. Step 3: Cross multiply
    223,151.68x = 307,951.50 × 122,549.68
  4. Step 4: Simplify right side
    223,151.68x = 37,739,357,780.52
  5. Step 5: Solve for x
    x = 37,739,357,780.52/223,151.68
  6. Step 6: Final answer
    x = 169,119.76

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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.