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Finding the Fourth Proportional to 138,647.90, 207,971.90 and 38,822.82

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Solution

The fourth proportional to 138,647.90, 207,971.90 and 38,822.82 is: 58,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,647.90 : 207,971.90 = 38,822.82 : x
  2. Step 2: Convert to fraction form
    138,647.90/207,971.90 = 38,822.82/x
  3. Step 3: Cross multiply
    138,647.90x = 207,971.90 × 38,822.82
  4. Step 4: Simplify right side
    138,647.90x = 8,074,055,638.76
  5. Step 5: Solve for x
    x = 8,074,055,638.76/138,647.90
  6. Step 6: Final answer
    x = 58,234.24

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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.