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Finding the Fourth Proportional to 213,908.57, 295,224.71 and 123,247.16

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Solution

The fourth proportional to 213,908.57, 295,224.71 and 123,247.16 is: 170,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,908.57 : 295,224.71 = 123,247.16 : x
  2. Step 2: Convert to fraction form
    213,908.57/295,224.71 = 123,247.16/x
  3. Step 3: Cross multiply
    213,908.57x = 295,224.71 × 123,247.16
  4. Step 4: Simplify right side
    213,908.57x = 36,385,604,976.96
  5. Step 5: Solve for x
    x = 36,385,604,976.96/213,908.57
  6. Step 6: Final answer
    x = 170,098.87

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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.