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Finding the Fourth Proportional to 138,407.86, 207,480.57 and 44,848

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Solution

The fourth proportional to 138,407.86, 207,480.57 and 44,848 is: 67,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,407.86 : 207,480.57 = 44,848 : x
  2. Step 2: Convert to fraction form
    138,407.86/207,480.57 = 44,848/x
  3. Step 3: Cross multiply
    138,407.86x = 207,480.57 × 44,848
  4. Step 4: Simplify right side
    138,407.86x = 9,305,088,603.36
  5. Step 5: Solve for x
    x = 9,305,088,603.36/138,407.86
  6. Step 6: Final answer
    x = 67,229.48

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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.