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Finding the Fourth Proportional to 217,957.92, 300,725.50 and 127,301.31

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Solution

The fourth proportional to 217,957.92, 300,725.50 and 127,301.31 is: 175,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,957.92 : 300,725.50 = 127,301.31 : x
  2. Step 2: Convert to fraction form
    217,957.92/300,725.50 = 127,301.31/x
  3. Step 3: Cross multiply
    217,957.92x = 300,725.50 × 127,301.31
  4. Step 4: Simplify right side
    217,957.92x = 38,282,750,100.41
  5. Step 5: Solve for x
    x = 38,282,750,100.41/217,957.92
  6. Step 6: Final answer
    x = 175,642.85

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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.