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Finding the Fourth Proportional to 38,432.70, 57,649.05 and 20,936.70

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Solution

The fourth proportional to 38,432.70, 57,649.05 and 20,936.70 is: 31,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,432.70 : 57,649.05 = 20,936.70 : x
  2. Step 2: Convert to fraction form
    38,432.70/57,649.05 = 20,936.70/x
  3. Step 3: Cross multiply
    38,432.70x = 57,649.05 × 20,936.70
  4. Step 4: Simplify right side
    38,432.70x = 1,206,980,865.14
  5. Step 5: Solve for x
    x = 1,206,980,865.14/38,432.70
  6. Step 6: Final answer
    x = 31,405.05

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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.