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Finding the Fourth Proportional to 138,809.50, 191,557.14 and 75,147.82

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Solution

The fourth proportional to 138,809.50, 191,557.14 and 75,147.82 is: 103,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,809.50 : 191,557.14 = 75,147.82 : x
  2. Step 2: Convert to fraction form
    138,809.50/191,557.14 = 75,147.82/x
  3. Step 3: Cross multiply
    138,809.50x = 191,557.14 × 75,147.82
  4. Step 4: Simplify right side
    138,809.50x = 14,395,101,476.43
  5. Step 5: Solve for x
    x = 14,395,101,476.43/138,809.50
  6. Step 6: Final answer
    x = 103,704.01

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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.