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Finding the Fourth Proportional to 67,782, 101,673 and 18,534

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Solution

The fourth proportional to 67,782, 101,673 and 18,534 is: 27,801

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,782 : 101,673 = 18,534 : x
  2. Step 2: Convert to fraction form
    67,782/101,673 = 18,534/x
  3. Step 3: Cross multiply
    67,782x = 101,673 × 18,534
  4. Step 4: Simplify right side
    67,782x = 1,884,407,382
  5. Step 5: Solve for x
    x = 1,884,407,382/67,782
  6. Step 6: Final answer
    x = 27,801

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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.