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Finding the Fourth Proportional to 232,770.56, 321,259.84 and 137,287.76

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Solution

The fourth proportional to 232,770.56, 321,259.84 and 137,287.76 is: 189,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,770.56 : 321,259.84 = 137,287.76 : x
  2. Step 2: Convert to fraction form
    232,770.56/321,259.84 = 137,287.76/x
  3. Step 3: Cross multiply
    232,770.56x = 321,259.84 × 137,287.76
  4. Step 4: Simplify right side
    232,770.56x = 44,105,043,811.56
  5. Step 5: Solve for x
    x = 44,105,043,811.56/232,770.56
  6. Step 6: Final answer
    x = 189,478.62

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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.