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Finding the Fourth Proportional to 136,071.96, 187,791.12 and 75,654.42

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Solution

The fourth proportional to 136,071.96, 187,791.12 and 75,654.42 is: 104,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,071.96 : 187,791.12 = 75,654.42 : x
  2. Step 2: Convert to fraction form
    136,071.96/187,791.12 = 75,654.42/x
  3. Step 3: Cross multiply
    136,071.96x = 187,791.12 × 75,654.42
  4. Step 4: Simplify right side
    136,071.96x = 14,207,228,264.75
  5. Step 5: Solve for x
    x = 14,207,228,264.75/136,071.96
  6. Step 6: Final answer
    x = 104,409.67

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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.