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Finding the Fourth Proportional to 81,469.30, 112,432.12 and 45,670.82

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Solution

The fourth proportional to 81,469.30, 112,432.12 and 45,670.82 is: 63,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469.30 : 112,432.12 = 45,670.82 : x
  2. Step 2: Convert to fraction form
    81,469.30/112,432.12 = 45,670.82/x
  3. Step 3: Cross multiply
    81,469.30x = 112,432.12 × 45,670.82
  4. Step 4: Simplify right side
    81,469.30x = 5,134,867,114.74
  5. Step 5: Solve for x
    x = 5,134,867,114.74/81,469.30
  6. Step 6: Final answer
    x = 63,028.25

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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.