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Finding the Fourth Proportional to 67,781, 101,671.50 and 18,533

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Solution

The fourth proportional to 67,781, 101,671.50 and 18,533 is: 27,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,781 : 101,671.50 = 18,533 : x
  2. Step 2: Convert to fraction form
    67,781/101,671.50 = 18,533/x
  3. Step 3: Cross multiply
    67,781x = 101,671.50 × 18,533
  4. Step 4: Simplify right side
    67,781x = 1,884,277,909.50
  5. Step 5: Solve for x
    x = 1,884,277,909.50/67,781
  6. Step 6: Final answer
    x = 27,799.50

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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.