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Finding the Fourth Proportional to 154,189.20, 230,938.20 and 91,981.20

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Solution

The fourth proportional to 154,189.20, 230,938.20 and 91,981.20 is: 137,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,189.20 : 230,938.20 = 91,981.20 : x
  2. Step 2: Convert to fraction form
    154,189.20/230,938.20 = 91,981.20/x
  3. Step 3: Cross multiply
    154,189.20x = 230,938.20 × 91,981.20
  4. Step 4: Simplify right side
    154,189.20x = 21,241,972,761.84
  5. Step 5: Solve for x
    x = 21,241,972,761.84/154,189.20
  6. Step 6: Final answer
    x = 137,765.63

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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.