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Finding the Fourth Proportional to 81,814, 112,932.48 and 48,280

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Solution

The fourth proportional to 81,814, 112,932.48 and 48,280 is: 66,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,814 : 112,932.48 = 48,280 : x
  2. Step 2: Convert to fraction form
    81,814/112,932.48 = 48,280/x
  3. Step 3: Cross multiply
    81,814x = 112,932.48 × 48,280
  4. Step 4: Simplify right side
    81,814x = 5,452,380,134.40
  5. Step 5: Solve for x
    x = 5,452,380,134.40/81,814
  6. Step 6: Final answer
    x = 66,643.61

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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.