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Finding the Fourth Proportional to 72,578.52, 100,165.68 and 40,745.52

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Solution

The fourth proportional to 72,578.52, 100,165.68 and 40,745.52 is: 56,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,578.52 : 100,165.68 = 40,745.52 : x
  2. Step 2: Convert to fraction form
    72,578.52/100,165.68 = 40,745.52/x
  3. Step 3: Cross multiply
    72,578.52x = 100,165.68 × 40,745.52
  4. Step 4: Simplify right side
    72,578.52x = 4,081,302,717.75
  5. Step 5: Solve for x
    x = 4,081,302,717.75/72,578.52
  6. Step 6: Final answer
    x = 56,232.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.