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Finding the Fourth Proportional to 20,073.68, 30,129 and 10,220

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Solution

The fourth proportional to 20,073.68, 30,129 and 10,220 is: 15,339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,073.68 : 30,129 = 10,220 : x
  2. Step 2: Convert to fraction form
    20,073.68/30,129 = 10,220/x
  3. Step 3: Cross multiply
    20,073.68x = 30,129 × 10,220
  4. Step 4: Simplify right side
    20,073.68x = 307,918,380
  5. Step 5: Solve for x
    x = 307,918,380/20,073.68
  6. Step 6: Final answer
    x = 15,339.41

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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.