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Finding the Fourth Proportional to 137,872.92, 205,875.48 and 109,474.32

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Solution

The fourth proportional to 137,872.92, 205,875.48 and 109,474.32 is: 163,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,872.92 : 205,875.48 = 109,474.32 : x
  2. Step 2: Convert to fraction form
    137,872.92/205,875.48 = 109,474.32/x
  3. Step 3: Cross multiply
    137,872.92x = 205,875.48 × 109,474.32
  4. Step 4: Simplify right side
    137,872.92x = 22,538,078,177.67
  5. Step 5: Solve for x
    x = 22,538,078,177.67/137,872.92
  6. Step 6: Final answer
    x = 163,469.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.