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Finding the Fourth Proportional to 154,065.96, 231,021.16 and 75,061.80

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Solution

The fourth proportional to 154,065.96, 231,021.16 and 75,061.80 is: 112,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,065.96 : 231,021.16 = 75,061.80 : x
  2. Step 2: Convert to fraction form
    154,065.96/231,021.16 = 75,061.80/x
  3. Step 3: Cross multiply
    154,065.96x = 231,021.16 × 75,061.80
  4. Step 4: Simplify right side
    154,065.96x = 17,340,864,107.69
  5. Step 5: Solve for x
    x = 17,340,864,107.69/154,065.96
  6. Step 6: Final answer
    x = 112,554.81

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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.