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Finding the Fourth Proportional to 72,578.34, 108,874.26 and 25,186.02

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Solution

The fourth proportional to 72,578.34, 108,874.26 and 25,186.02 is: 37,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,578.34 : 108,874.26 = 25,186.02 : x
  2. Step 2: Convert to fraction form
    72,578.34/108,874.26 = 25,186.02/x
  3. Step 3: Cross multiply
    72,578.34x = 108,874.26 × 25,186.02
  4. Step 4: Simplify right side
    72,578.34x = 2,742,109,289.85
  5. Step 5: Solve for x
    x = 2,742,109,289.85/72,578.34
  6. Step 6: Final answer
    x = 37,781.37

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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.