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Finding the Fourth Proportional to 81,020.98, 111,791.10 and 47,009.76

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Solution

The fourth proportional to 81,020.98, 111,791.10 and 47,009.76 is: 64,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,020.98 : 111,791.10 = 47,009.76 : x
  2. Step 2: Convert to fraction form
    81,020.98/111,791.10 = 47,009.76/x
  3. Step 3: Cross multiply
    81,020.98x = 111,791.10 × 47,009.76
  4. Step 4: Simplify right side
    81,020.98x = 5,255,272,781.14
  5. Step 5: Solve for x
    x = 5,255,272,781.14/81,020.98
  6. Step 6: Final answer
    x = 64,863.11

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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.