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Finding the Fourth Proportional to 67,695, 101,542.50 and 18,447

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Solution

The fourth proportional to 67,695, 101,542.50 and 18,447 is: 27,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,695 : 101,542.50 = 18,447 : x
  2. Step 2: Convert to fraction form
    67,695/101,542.50 = 18,447/x
  3. Step 3: Cross multiply
    67,695x = 101,542.50 × 18,447
  4. Step 4: Simplify right side
    67,695x = 1,873,154,497.50
  5. Step 5: Solve for x
    x = 1,873,154,497.50/67,695
  6. Step 6: Final answer
    x = 27,670.50

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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.