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Finding the Fourth Proportional to 81,201.79, 112,064.21 and 52,907.48

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Solution

The fourth proportional to 81,201.79, 112,064.21 and 52,907.48 is: 73,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,201.79 : 112,064.21 = 52,907.48 : x
  2. Step 2: Convert to fraction form
    81,201.79/112,064.21 = 52,907.48/x
  3. Step 3: Cross multiply
    81,201.79x = 112,064.21 × 52,907.48
  4. Step 4: Simplify right side
    81,201.79x = 5,929,034,743.08
  5. Step 5: Solve for x
    x = 5,929,034,743.08/81,201.79
  6. Step 6: Final answer
    x = 73,016.06

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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.