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Finding the Fourth Proportional to 154,612.08, 231,984.72 and 83,520.56

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Solution

The fourth proportional to 154,612.08, 231,984.72 and 83,520.56 is: 125,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,612.08 : 231,984.72 = 83,520.56 : x
  2. Step 2: Convert to fraction form
    154,612.08/231,984.72 = 83,520.56/x
  3. Step 3: Cross multiply
    154,612.08x = 231,984.72 × 83,520.56
  4. Step 4: Simplify right side
    154,612.08x = 19,375,493,725.84
  5. Step 5: Solve for x
    x = 19,375,493,725.84/154,612.08
  6. Step 6: Final answer
    x = 125,316.82

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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.