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Finding the Fourth Proportional to 42,302, 63,453 and 17,678

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Solution

The fourth proportional to 42,302, 63,453 and 17,678 is: 26,517

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,302 : 63,453 = 17,678 : x
  2. Step 2: Convert to fraction form
    42,302/63,453 = 17,678/x
  3. Step 3: Cross multiply
    42,302x = 63,453 × 17,678
  4. Step 4: Simplify right side
    42,302x = 1,121,722,134
  5. Step 5: Solve for x
    x = 1,121,722,134/42,302
  6. Step 6: Final answer
    x = 26,517

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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.