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Finding the Fourth Proportional to 32,868.90, 49,288.80 and 20,388.42

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Solution

The fourth proportional to 32,868.90, 49,288.80 and 20,388.42 is: 30,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,868.90 : 49,288.80 = 20,388.42 : x
  2. Step 2: Convert to fraction form
    32,868.90/49,288.80 = 20,388.42/x
  3. Step 3: Cross multiply
    32,868.90x = 49,288.80 × 20,388.42
  4. Step 4: Simplify right side
    32,868.90x = 1,004,920,755.70
  5. Step 5: Solve for x
    x = 1,004,920,755.70/32,868.90
  6. Step 6: Final answer
    x = 30,573.60

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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.