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Finding the Fourth Proportional to 68,782.42, 103,160.51 and 21,398.10

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Solution

The fourth proportional to 68,782.42, 103,160.51 and 21,398.10 is: 32,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,782.42 : 103,160.51 = 21,398.10 : x
  2. Step 2: Convert to fraction form
    68,782.42/103,160.51 = 21,398.10/x
  3. Step 3: Cross multiply
    68,782.42x = 103,160.51 × 21,398.10
  4. Step 4: Simplify right side
    68,782.42x = 2,207,438,286.24
  5. Step 5: Solve for x
    x = 2,207,438,286.24/68,782.42
  6. Step 6: Final answer
    x = 32,093.06

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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.