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Finding the Fourth Proportional to 68,433.84, 102,648.60 and 17,142.48

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Solution

The fourth proportional to 68,433.84, 102,648.60 and 17,142.48 is: 25,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,433.84 : 102,648.60 = 17,142.48 : x
  2. Step 2: Convert to fraction form
    68,433.84/102,648.60 = 17,142.48/x
  3. Step 3: Cross multiply
    68,433.84x = 102,648.60 × 17,142.48
  4. Step 4: Simplify right side
    68,433.84x = 1,759,651,572.53
  5. Step 5: Solve for x
    x = 1,759,651,572.53/68,433.84
  6. Step 6: Final answer
    x = 25,713.18

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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.