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Finding the Fourth Proportional to 229,690.80, 316,974.20 and 127,725.57

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Solution

The fourth proportional to 229,690.80, 316,974.20 and 127,725.57 is: 176,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,690.80 : 316,974.20 = 127,725.57 : x
  2. Step 2: Convert to fraction form
    229,690.80/316,974.20 = 127,725.57/x
  3. Step 3: Cross multiply
    229,690.80x = 316,974.20 × 127,725.57
  4. Step 4: Simplify right side
    229,690.80x = 40,485,709,731.67
  5. Step 5: Solve for x
    x = 40,485,709,731.67/229,690.80
  6. Step 6: Final answer
    x = 176,261.78

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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.