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Finding the Fourth Proportional to 138,801, 208,207.26 and 40,305

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Solution

The fourth proportional to 138,801, 208,207.26 and 40,305 is: 60,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,801 : 208,207.26 = 40,305 : x
  2. Step 2: Convert to fraction form
    138,801/208,207.26 = 40,305/x
  3. Step 3: Cross multiply
    138,801x = 208,207.26 × 40,305
  4. Step 4: Simplify right side
    138,801x = 8,391,793,614.30
  5. Step 5: Solve for x
    x = 8,391,793,614.30/138,801
  6. Step 6: Final answer
    x = 60,459.17

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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.