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Finding the Fourth Proportional to 81,077.04, 111,884.04 and 45,266

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Solution

The fourth proportional to 81,077.04, 111,884.04 and 45,266 is: 62,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,077.04 : 111,884.04 = 45,266 : x
  2. Step 2: Convert to fraction form
    81,077.04/111,884.04 = 45,266/x
  3. Step 3: Cross multiply
    81,077.04x = 111,884.04 × 45,266
  4. Step 4: Simplify right side
    81,077.04x = 5,064,542,954.64
  5. Step 5: Solve for x
    x = 5,064,542,954.64/81,077.04
  6. Step 6: Final answer
    x = 62,465.81

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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.