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Finding the Fourth Proportional to 109,310.58, 163,986.63 and 38,253.42

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Solution

The fourth proportional to 109,310.58, 163,986.63 and 38,253.42 is: 57,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,310.58 : 163,986.63 = 38,253.42 : x
  2. Step 2: Convert to fraction form
    109,310.58/163,986.63 = 38,253.42/x
  3. Step 3: Cross multiply
    109,310.58x = 163,986.63 × 38,253.42
  4. Step 4: Simplify right side
    109,310.58x = 6,273,049,288.32
  5. Step 5: Solve for x
    x = 6,273,049,288.32/109,310.58
  6. Step 6: Final answer
    x = 57,387.39

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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.