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Finding the Fourth Proportional to 136,191.82, 204,288.64 and 47,447

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Solution

The fourth proportional to 136,191.82, 204,288.64 and 47,447 is: 71,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,191.82 : 204,288.64 = 47,447 : x
  2. Step 2: Convert to fraction form
    136,191.82/204,288.64 = 47,447/x
  3. Step 3: Cross multiply
    136,191.82x = 204,288.64 × 47,447
  4. Step 4: Simplify right side
    136,191.82x = 9,692,883,102.08
  5. Step 5: Solve for x
    x = 9,692,883,102.08/136,191.82
  6. Step 6: Final answer
    x = 71,170.82

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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.