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Finding the Fourth Proportional to 68,906.16, 103,356.90 and 19,658.16

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Solution

The fourth proportional to 68,906.16, 103,356.90 and 19,658.16 is: 29,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,906.16 : 103,356.90 = 19,658.16 : x
  2. Step 2: Convert to fraction form
    68,906.16/103,356.90 = 19,658.16/x
  3. Step 3: Cross multiply
    68,906.16x = 103,356.90 × 19,658.16
  4. Step 4: Simplify right side
    68,906.16x = 2,031,806,477.30
  5. Step 5: Solve for x
    x = 2,031,806,477.30/68,906.16
  6. Step 6: Final answer
    x = 29,486.57

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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.