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Finding the Fourth Proportional to 138,808.50, 191,556.72 and 75,146.46

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Solution

The fourth proportional to 138,808.50, 191,556.72 and 75,146.46 is: 103,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,808.50 : 191,556.72 = 75,146.46 : x
  2. Step 2: Convert to fraction form
    138,808.50/191,556.72 = 75,146.46/x
  3. Step 3: Cross multiply
    138,808.50x = 191,556.72 × 75,146.46
  4. Step 4: Simplify right side
    138,808.50x = 14,394,809,397.21
  5. Step 5: Solve for x
    x = 14,394,809,397.21/138,808.50
  6. Step 6: Final answer
    x = 103,702.65

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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.