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Finding the Fourth Proportional to 154,107.92, 231,180.30 and 65,349.89

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Solution

The fourth proportional to 154,107.92, 231,180.30 and 65,349.89 is: 98,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,107.92 : 231,180.30 = 65,349.89 : x
  2. Step 2: Convert to fraction form
    154,107.92/231,180.30 = 65,349.89/x
  3. Step 3: Cross multiply
    154,107.92x = 231,180.30 × 65,349.89
  4. Step 4: Simplify right side
    154,107.92x = 15,107,607,175.17
  5. Step 5: Solve for x
    x = 15,107,607,175.17/154,107.92
  6. Step 6: Final answer
    x = 98,032.65

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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.