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Finding the Fourth Proportional to 81,498.38, 112,468.19 and 47,530.44

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Solution

The fourth proportional to 81,498.38, 112,468.19 and 47,530.44 is: 65,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,498.38 : 112,468.19 = 47,530.44 : x
  2. Step 2: Convert to fraction form
    81,498.38/112,468.19 = 47,530.44/x
  3. Step 3: Cross multiply
    81,498.38x = 112,468.19 × 47,530.44
  4. Step 4: Simplify right side
    81,498.38x = 5,345,662,319.05
  5. Step 5: Solve for x
    x = 5,345,662,319.05/81,498.38
  6. Step 6: Final answer
    x = 65,592.26

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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.