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Finding the Fourth Proportional to 149,231.94, 205,938.84 and 81,248.78

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Solution

The fourth proportional to 149,231.94, 205,938.84 and 81,248.78 is: 112,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,231.94 : 205,938.84 = 81,248.78 : x
  2. Step 2: Convert to fraction form
    149,231.94/205,938.84 = 81,248.78/x
  3. Step 3: Cross multiply
    149,231.94x = 205,938.84 × 81,248.78
  4. Step 4: Simplify right side
    149,231.94x = 16,732,278,474.92
  5. Step 5: Solve for x
    x = 16,732,278,474.92/149,231.94
  6. Step 6: Final answer
    x = 112,122.64

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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.