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Finding the Fourth Proportional to 101,284.90, 151,834.47 and 38,908.42

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Solution

The fourth proportional to 101,284.90, 151,834.47 and 38,908.42 is: 58,326.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,284.90 : 151,834.47 = 38,908.42 : x
  2. Step 2: Convert to fraction form
    101,284.90/151,834.47 = 38,908.42/x
  3. Step 3: Cross multiply
    101,284.90x = 151,834.47 × 38,908.42
  4. Step 4: Simplify right side
    101,284.90x = 5,907,639,329.24
  5. Step 5: Solve for x
    x = 5,907,639,329.24/101,284.90
  6. Step 6: Final answer
    x = 58,326.95

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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.