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Finding the Fourth Proportional to 67,866.64, 101,825.88 and 38,317.84

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Solution

The fourth proportional to 67,866.64, 101,825.88 and 38,317.84 is: 57,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,866.64 : 101,825.88 = 38,317.84 : x
  2. Step 2: Convert to fraction form
    67,866.64/101,825.88 = 38,317.84/x
  3. Step 3: Cross multiply
    67,866.64x = 101,825.88 × 38,317.84
  4. Step 4: Simplify right side
    67,866.64x = 3,901,747,777.70
  5. Step 5: Solve for x
    x = 3,901,747,777.70/67,866.64
  6. Step 6: Final answer
    x = 57,491.39

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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.