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Finding the Fourth Proportional to 81,906.61, 113,066 and 55,064.69

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Solution

The fourth proportional to 81,906.61, 113,066 and 55,064.69 is: 76,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.61 : 113,066 = 55,064.69 : x
  2. Step 2: Convert to fraction form
    81,906.61/113,066 = 55,064.69/x
  3. Step 3: Cross multiply
    81,906.61x = 113,066 × 55,064.69
  4. Step 4: Simplify right side
    81,906.61x = 6,225,944,239.54
  5. Step 5: Solve for x
    x = 6,225,944,239.54/81,906.61
  6. Step 6: Final answer
    x = 76,012.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.