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Finding the Fourth Proportional to 81,054.52, 111,873.90 and 47,531.32

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Solution

The fourth proportional to 81,054.52, 111,873.90 and 47,531.32 is: 65,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,054.52 : 111,873.90 = 47,531.32 : x
  2. Step 2: Convert to fraction form
    81,054.52/111,873.90 = 47,531.32/x
  3. Step 3: Cross multiply
    81,054.52x = 111,873.90 × 47,531.32
  4. Step 4: Simplify right side
    81,054.52x = 5,317,514,140.55
  5. Step 5: Solve for x
    x = 5,317,514,140.55/81,054.52
  6. Step 6: Final answer
    x = 65,604.17

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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.