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Finding the Fourth Proportional to 72,932.63, 100,647.12 and 39,398.63

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Solution

The fourth proportional to 72,932.63, 100,647.12 and 39,398.63 is: 54,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,932.63 : 100,647.12 = 39,398.63 : x
  2. Step 2: Convert to fraction form
    72,932.63/100,647.12 = 39,398.63/x
  3. Step 3: Cross multiply
    72,932.63x = 100,647.12 × 39,398.63
  4. Step 4: Simplify right side
    72,932.63x = 3,965,358,138.21
  5. Step 5: Solve for x
    x = 3,965,358,138.21/72,932.63
  6. Step 6: Final answer
    x = 54,370.16

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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.