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Finding the Fourth Proportional to 171,872.16, 237,212.08 and 100,252.20

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Solution

The fourth proportional to 171,872.16, 237,212.08 and 100,252.20 is: 138,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,872.16 : 237,212.08 = 100,252.20 : x
  2. Step 2: Convert to fraction form
    171,872.16/237,212.08 = 100,252.20/x
  3. Step 3: Cross multiply
    171,872.16x = 237,212.08 × 100,252.20
  4. Step 4: Simplify right side
    171,872.16x = 23,781,031,700.52
  5. Step 5: Solve for x
    x = 23,781,031,700.52/171,872.16
  6. Step 6: Final answer
    x = 138,364.65

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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.