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Finding the Fourth Proportional to 136,517.63, 204,868.71 and 47,771.90

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Solution

The fourth proportional to 136,517.63, 204,868.71 and 47,771.90 is: 71,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,517.63 : 204,868.71 = 47,771.90 : x
  2. Step 2: Convert to fraction form
    136,517.63/204,868.71 = 47,771.90/x
  3. Step 3: Cross multiply
    136,517.63x = 204,868.71 × 47,771.90
  4. Step 4: Simplify right side
    136,517.63x = 9,786,968,423.55
  5. Step 5: Solve for x
    x = 9,786,968,423.55/136,517.63
  6. Step 6: Final answer
    x = 71,690.14

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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.