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Finding the Fourth Proportional to 138,057.30, 207,207.45 and 81,827.10

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Solution

The fourth proportional to 138,057.30, 207,207.45 and 81,827.10 is: 122,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,057.30 : 207,207.45 = 81,827.10 : x
  2. Step 2: Convert to fraction form
    138,057.30/207,207.45 = 81,827.10/x
  3. Step 3: Cross multiply
    138,057.30x = 207,207.45 × 81,827.10
  4. Step 4: Simplify right side
    138,057.30x = 16,955,184,731.90
  5. Step 5: Solve for x
    x = 16,955,184,731.90/138,057.30
  6. Step 6: Final answer
    x = 122,812.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.