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Finding the Fourth Proportional to 138,954.32, 191,757.84 and 75,292.58

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Solution

The fourth proportional to 138,954.32, 191,757.84 and 75,292.58 is: 103,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,954.32 : 191,757.84 = 75,292.58 : x
  2. Step 2: Convert to fraction form
    138,954.32/191,757.84 = 75,292.58/x
  3. Step 3: Cross multiply
    138,954.32x = 191,757.84 × 75,292.58
  4. Step 4: Simplify right side
    138,954.32x = 14,437,942,508.83
  5. Step 5: Solve for x
    x = 14,437,942,508.83/138,954.32
  6. Step 6: Final answer
    x = 103,904.24

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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.