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Finding the Fourth Proportional to 72,408.48, 108,614.28 and 41,178

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Solution

The fourth proportional to 72,408.48, 108,614.28 and 41,178 is: 61,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,408.48 : 108,614.28 = 41,178 : x
  2. Step 2: Convert to fraction form
    72,408.48/108,614.28 = 41,178/x
  3. Step 3: Cross multiply
    72,408.48x = 108,614.28 × 41,178
  4. Step 4: Simplify right side
    72,408.48x = 4,472,518,821.84
  5. Step 5: Solve for x
    x = 4,472,518,821.84/72,408.48
  6. Step 6: Final answer
    x = 61,767.89

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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.