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Finding the Fourth Proportional to 52,493.65, 78,773.12 and 21,328.90

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Solution

The fourth proportional to 52,493.65, 78,773.12 and 21,328.90 is: 32,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,493.65 : 78,773.12 = 21,328.90 : x
  2. Step 2: Convert to fraction form
    52,493.65/78,773.12 = 21,328.90/x
  3. Step 3: Cross multiply
    52,493.65x = 78,773.12 × 21,328.90
  4. Step 4: Simplify right side
    52,493.65x = 1,680,143,855.56
  5. Step 5: Solve for x
    x = 1,680,143,855.56/52,493.65
  6. Step 6: Final answer
    x = 32,006.61

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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.