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Finding the Fourth Proportional to 81,492.81, 112,460.49 and 47,524.86

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Solution

The fourth proportional to 81,492.81, 112,460.49 and 47,524.86 is: 65,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,492.81 : 112,460.49 = 47,524.86 : x
  2. Step 2: Convert to fraction form
    81,492.81/112,460.49 = 47,524.86/x
  3. Step 3: Cross multiply
    81,492.81x = 112,460.49 × 47,524.86
  4. Step 4: Simplify right side
    81,492.81x = 5,344,669,042.78
  5. Step 5: Solve for x
    x = 5,344,669,042.78/81,492.81
  6. Step 6: Final answer
    x = 65,584.55

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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.