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Finding the Fourth Proportional to 72,514, 108,771 and 25,768.72

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Solution

The fourth proportional to 72,514, 108,771 and 25,768.72 is: 38,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,514 : 108,771 = 25,768.72 : x
  2. Step 2: Convert to fraction form
    72,514/108,771 = 25,768.72/x
  3. Step 3: Cross multiply
    72,514x = 108,771 × 25,768.72
  4. Step 4: Simplify right side
    72,514x = 2,802,889,443.12
  5. Step 5: Solve for x
    x = 2,802,889,443.12/72,514
  6. Step 6: Final answer
    x = 38,653.08

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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.