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Finding the Fourth Proportional to 40,902, 61,367.40 and 20,140.08

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Solution

The fourth proportional to 40,902, 61,367.40 and 20,140.08 is: 30,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,902 : 61,367.40 = 20,140.08 : x
  2. Step 2: Convert to fraction form
    40,902/61,367.40 = 20,140.08/x
  3. Step 3: Cross multiply
    40,902x = 61,367.40 × 20,140.08
  4. Step 4: Simplify right side
    40,902x = 1,235,944,345.39
  5. Step 5: Solve for x
    x = 1,235,944,345.39/40,902
  6. Step 6: Final answer
    x = 30,217.21

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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.