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Finding the Fourth Proportional to 40,814, 61,218.12 and 20,030

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Solution

The fourth proportional to 40,814, 61,218.12 and 20,030 is: 30,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,814 : 61,218.12 = 20,030 : x
  2. Step 2: Convert to fraction form
    40,814/61,218.12 = 20,030/x
  3. Step 3: Cross multiply
    40,814x = 61,218.12 × 20,030
  4. Step 4: Simplify right side
    40,814x = 1,226,198,943.60
  5. Step 5: Solve for x
    x = 1,226,198,943.60/40,814
  6. Step 6: Final answer
    x = 30,043.59

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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.