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Finding the Fourth Proportional to 76,633.32, 114,949.98 and 21,227.88

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Solution

The fourth proportional to 76,633.32, 114,949.98 and 21,227.88 is: 31,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,633.32 : 114,949.98 = 21,227.88 : x
  2. Step 2: Convert to fraction form
    76,633.32/114,949.98 = 21,227.88/x
  3. Step 3: Cross multiply
    76,633.32x = 114,949.98 × 21,227.88
  4. Step 4: Simplify right side
    76,633.32x = 2,440,144,381.44
  5. Step 5: Solve for x
    x = 2,440,144,381.44/76,633.32
  6. Step 6: Final answer
    x = 31,841.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.