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Finding the Fourth Proportional to 81,775.93, 122,613.66 and 31,797.77

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Solution

The fourth proportional to 81,775.93, 122,613.66 and 31,797.77 is: 47,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,775.93 : 122,613.66 = 31,797.77 : x
  2. Step 2: Convert to fraction form
    81,775.93/122,613.66 = 31,797.77/x
  3. Step 3: Cross multiply
    81,775.93x = 122,613.66 × 31,797.77
  4. Step 4: Simplify right side
    81,775.93x = 3,898,841,048.58
  5. Step 5: Solve for x
    x = 3,898,841,048.58/81,775.93
  6. Step 6: Final answer
    x = 47,677.12

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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.