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Finding the Fourth Proportional to 138,903.62, 191,687.02 and 75,241.42

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Solution

The fourth proportional to 138,903.62, 191,687.02 and 75,241.42 is: 103,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,903.62 : 191,687.02 = 75,241.42 : x
  2. Step 2: Convert to fraction form
    138,903.62/191,687.02 = 75,241.42/x
  3. Step 3: Cross multiply
    138,903.62x = 191,687.02 × 75,241.42
  4. Step 4: Simplify right side
    138,903.62x = 14,422,803,288.42
  5. Step 5: Solve for x
    x = 14,422,803,288.42/138,903.62
  6. Step 6: Final answer
    x = 103,833.17

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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.