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Finding the Fourth Proportional to 154,294, 231,112.86 and 91,045.96

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Solution

The fourth proportional to 154,294, 231,112.86 and 91,045.96 is: 136,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,294 : 231,112.86 = 91,045.96 : x
  2. Step 2: Convert to fraction form
    154,294/231,112.86 = 91,045.96/x
  3. Step 3: Cross multiply
    154,294x = 231,112.86 × 91,045.96
  4. Step 4: Simplify right side
    154,294x = 21,041,892,207.05
  5. Step 5: Solve for x
    x = 21,041,892,207.05/154,294
  6. Step 6: Final answer
    x = 136,375.31

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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.