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Finding the Fourth Proportional to 40,900, 61,364.40 and 20,138.08

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Solution

The fourth proportional to 40,900, 61,364.40 and 20,138.08 is: 30,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,900 : 61,364.40 = 20,138.08 : x
  2. Step 2: Convert to fraction form
    40,900/61,364.40 = 20,138.08/x
  3. Step 3: Cross multiply
    40,900x = 61,364.40 × 20,138.08
  4. Step 4: Simplify right side
    40,900x = 1,235,761,196.35
  5. Step 5: Solve for x
    x = 1,235,761,196.35/40,900
  6. Step 6: Final answer
    x = 30,214.21

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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.