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Finding the Fourth Proportional to 67,578.78, 101,368.14 and 18,330.78

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Solution

The fourth proportional to 67,578.78, 101,368.14 and 18,330.78 is: 27,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,578.78 : 101,368.14 = 18,330.78 : x
  2. Step 2: Convert to fraction form
    67,578.78/101,368.14 = 18,330.78/x
  3. Step 3: Cross multiply
    67,578.78x = 101,368.14 × 18,330.78
  4. Step 4: Simplify right side
    67,578.78x = 1,858,157,073.35
  5. Step 5: Solve for x
    x = 1,858,157,073.35/67,578.78
  6. Step 6: Final answer
    x = 27,496.16

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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.