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Finding the Fourth Proportional to 67,218, 100,837.92 and 20,460

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Solution

The fourth proportional to 67,218, 100,837.92 and 20,460 is: 30,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,218 : 100,837.92 = 20,460 : x
  2. Step 2: Convert to fraction form
    67,218/100,837.92 = 20,460/x
  3. Step 3: Cross multiply
    67,218x = 100,837.92 × 20,460
  4. Step 4: Simplify right side
    67,218x = 2,063,143,843.20
  5. Step 5: Solve for x
    x = 2,063,143,843.20/67,218
  6. Step 6: Final answer
    x = 30,693.32

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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.