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Finding the Fourth Proportional to 136,512.81, 204,729.12 and 47,749.77

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Solution

The fourth proportional to 136,512.81, 204,729.12 and 47,749.77 is: 71,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,512.81 : 204,729.12 = 47,749.77 : x
  2. Step 2: Convert to fraction form
    136,512.81/204,729.12 = 47,749.77/x
  3. Step 3: Cross multiply
    136,512.81x = 204,729.12 × 47,749.77
  4. Step 4: Simplify right side
    136,512.81x = 9,775,768,392.30
  5. Step 5: Solve for x
    x = 9,775,768,392.30/136,512.81
  6. Step 6: Final answer
    x = 71,610.63

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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.