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Finding the Fourth Proportional to 80,409.81, 120,575.72 and 24,239.45

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Solution

The fourth proportional to 80,409.81, 120,575.72 and 24,239.45 is: 36,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,409.81 : 120,575.72 = 24,239.45 : x
  2. Step 2: Convert to fraction form
    80,409.81/120,575.72 = 24,239.45/x
  3. Step 3: Cross multiply
    80,409.81x = 120,575.72 × 24,239.45
  4. Step 4: Simplify right side
    80,409.81x = 2,922,689,498.19
  5. Step 5: Solve for x
    x = 2,922,689,498.19/80,409.81
  6. Step 6: Final answer
    x = 36,347.42

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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.