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Finding the Fourth Proportional to 81,484.88, 122,201.76 and 31,561.52

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Solution

The fourth proportional to 81,484.88, 122,201.76 and 31,561.52 is: 47,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,484.88 : 122,201.76 = 31,561.52 : x
  2. Step 2: Convert to fraction form
    81,484.88/122,201.76 = 31,561.52/x
  3. Step 3: Cross multiply
    81,484.88x = 122,201.76 × 31,561.52
  4. Step 4: Simplify right side
    81,484.88x = 3,856,873,292.28
  5. Step 5: Solve for x
    x = 3,856,873,292.28/81,484.88
  6. Step 6: Final answer
    x = 47,332.38

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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.