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Finding the Fourth Proportional to 217,956.92, 300,724.13 and 127,300.31

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Solution

The fourth proportional to 217,956.92, 300,724.13 and 127,300.31 is: 175,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,956.92 : 300,724.13 = 127,300.31 : x
  2. Step 2: Convert to fraction form
    217,956.92/300,724.13 = 127,300.31/x
  3. Step 3: Cross multiply
    217,956.92x = 300,724.13 × 127,300.31
  4. Step 4: Simplify right side
    217,956.92x = 38,282,272,833.36
  5. Step 5: Solve for x
    x = 38,282,272,833.36/217,956.92
  6. Step 6: Final answer
    x = 175,641.47

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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.