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Finding the Fourth Proportional to 138,749.26, 208,100.41 and 38,886.47

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Solution

The fourth proportional to 138,749.26, 208,100.41 and 38,886.47 is: 58,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,749.26 : 208,100.41 = 38,886.47 : x
  2. Step 2: Convert to fraction form
    138,749.26/208,100.41 = 38,886.47/x
  3. Step 3: Cross multiply
    138,749.26x = 208,100.41 × 38,886.47
  4. Step 4: Simplify right side
    138,749.26x = 8,092,289,309.95
  5. Step 5: Solve for x
    x = 8,092,289,309.95/138,749.26
  6. Step 6: Final answer
    x = 58,323.12

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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.