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Finding the Fourth Proportional to 81,235.44, 121,853.16 and 31,338.90

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Solution

The fourth proportional to 81,235.44, 121,853.16 and 31,338.90 is: 47,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,235.44 : 121,853.16 = 31,338.90 : x
  2. Step 2: Convert to fraction form
    81,235.44/121,853.16 = 31,338.90/x
  3. Step 3: Cross multiply
    81,235.44x = 121,853.16 × 31,338.90
  4. Step 4: Simplify right side
    81,235.44x = 3,818,743,995.92
  5. Step 5: Solve for x
    x = 3,818,743,995.92/81,235.44
  6. Step 6: Final answer
    x = 47,008.35

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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.