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Finding the Fourth Proportional to 138,983.86, 191,797.70 and 75,321.66

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Solution

The fourth proportional to 138,983.86, 191,797.70 and 75,321.66 is: 103,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,983.86 : 191,797.70 = 75,321.66 : x
  2. Step 2: Convert to fraction form
    138,983.86/191,797.70 = 75,321.66/x
  3. Step 3: Cross multiply
    138,983.86x = 191,797.70 × 75,321.66
  4. Step 4: Simplify right side
    138,983.86x = 14,446,521,148.18
  5. Step 5: Solve for x
    x = 14,446,521,148.18/138,983.86
  6. Step 6: Final answer
    x = 103,943.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.