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Finding the Fourth Proportional to 217,531.38, 300,126 and 126,823.16

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Solution

The fourth proportional to 217,531.38, 300,126 and 126,823.16 is: 174,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,531.38 : 300,126 = 126,823.16 : x
  2. Step 2: Convert to fraction form
    217,531.38/300,126 = 126,823.16/x
  3. Step 3: Cross multiply
    217,531.38x = 300,126 × 126,823.16
  4. Step 4: Simplify right side
    217,531.38x = 38,062,927,718.16
  5. Step 5: Solve for x
    x = 38,062,927,718.16/217,531.38
  6. Step 6: Final answer
    x = 174,976.72

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1.5x scale

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.