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Finding the Fourth Proportional to 81,013, 111,802.26 and 47,489.80

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Solution

The fourth proportional to 81,013, 111,802.26 and 47,489.80 is: 65,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,013 : 111,802.26 = 47,489.80 : x
  2. Step 2: Convert to fraction form
    81,013/111,802.26 = 47,489.80/x
  3. Step 3: Cross multiply
    81,013x = 111,802.26 × 47,489.80
  4. Step 4: Simplify right side
    81,013x = 5,309,466,966.95
  5. Step 5: Solve for x
    x = 5,309,466,966.95/81,013
  6. Step 6: Final answer
    x = 65,538.46

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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.