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Finding the Fourth Proportional to 67,299, 100,948.50 and 18,051

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Solution

The fourth proportional to 67,299, 100,948.50 and 18,051 is: 27,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,299 : 100,948.50 = 18,051 : x
  2. Step 2: Convert to fraction form
    67,299/100,948.50 = 18,051/x
  3. Step 3: Cross multiply
    67,299x = 100,948.50 × 18,051
  4. Step 4: Simplify right side
    67,299x = 1,822,221,373.50
  5. Step 5: Solve for x
    x = 1,822,221,373.50/67,299
  6. Step 6: Final answer
    x = 27,076.50

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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.