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Finding the Fourth Proportional to 223,233.76, 308,062.36 and 121,259.30

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Solution

The fourth proportional to 223,233.76, 308,062.36 and 121,259.30 is: 167,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,233.76 : 308,062.36 = 121,259.30 : x
  2. Step 2: Convert to fraction form
    223,233.76/308,062.36 = 121,259.30/x
  3. Step 3: Cross multiply
    223,233.76x = 308,062.36 × 121,259.30
  4. Step 4: Simplify right side
    223,233.76x = 37,355,425,523.65
  5. Step 5: Solve for x
    x = 37,355,425,523.65/223,233.76
  6. Step 6: Final answer
    x = 167,337.71

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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.