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Finding the Fourth Proportional to 136,286, 204,430.84 and 42,791.76

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Solution

The fourth proportional to 136,286, 204,430.84 and 42,791.76 is: 64,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,286 : 204,430.84 = 42,791.76 : x
  2. Step 2: Convert to fraction form
    136,286/204,430.84 = 42,791.76/x
  3. Step 3: Cross multiply
    136,286x = 204,430.84 × 42,791.76
  4. Step 4: Simplify right side
    136,286x = 8,747,955,441.88
  5. Step 5: Solve for x
    x = 8,747,955,441.88/136,286
  6. Step 6: Final answer
    x = 64,188.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.