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Finding the Fourth Proportional to 72,408.61, 108,582.11 and 32,990.77

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Solution

The fourth proportional to 72,408.61, 108,582.11 and 32,990.77 is: 49,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,408.61 : 108,582.11 = 32,990.77 : x
  2. Step 2: Convert to fraction form
    72,408.61/108,582.11 = 32,990.77/x
  3. Step 3: Cross multiply
    72,408.61x = 108,582.11 × 32,990.77
  4. Step 4: Simplify right side
    72,408.61x = 3,582,207,417.12
  5. Step 5: Solve for x
    x = 3,582,207,417.12/72,408.61
  6. Step 6: Final answer
    x = 49,472.12

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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.