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Finding the Fourth Proportional to 138,894.50, 191,674.82 and 75,232.30

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Solution

The fourth proportional to 138,894.50, 191,674.82 and 75,232.30 is: 103,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,894.50 : 191,674.82 = 75,232.30 : x
  2. Step 2: Convert to fraction form
    138,894.50/191,674.82 = 75,232.30/x
  3. Step 3: Cross multiply
    138,894.50x = 191,674.82 × 75,232.30
  4. Step 4: Simplify right side
    138,894.50x = 14,420,137,560.69
  5. Step 5: Solve for x
    x = 14,420,137,560.69/138,894.50
  6. Step 6: Final answer
    x = 103,820.80

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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.