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Finding the Fourth Proportional to 234,125, 322,989.54 and 137,279.42

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Solution

The fourth proportional to 234,125, 322,989.54 and 137,279.42 is: 189,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,125 : 322,989.54 = 137,279.42 : x
  2. Step 2: Convert to fraction form
    234,125/322,989.54 = 137,279.42/x
  3. Step 3: Cross multiply
    234,125x = 322,989.54 × 137,279.42
  4. Step 4: Simplify right side
    234,125x = 44,339,816,717.27
  5. Step 5: Solve for x
    x = 44,339,816,717.27/234,125
  6. Step 6: Final answer
    x = 189,385.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.