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Finding the Fourth Proportional to 80,438.28, 120,582.93 and 29,809.11

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Solution

The fourth proportional to 80,438.28, 120,582.93 and 29,809.11 is: 44,686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,438.28 : 120,582.93 = 29,809.11 : x
  2. Step 2: Convert to fraction form
    80,438.28/120,582.93 = 29,809.11/x
  3. Step 3: Cross multiply
    80,438.28x = 120,582.93 × 29,809.11
  4. Step 4: Simplify right side
    80,438.28x = 3,594,470,388.46
  5. Step 5: Solve for x
    x = 3,594,470,388.46/80,438.28
  6. Step 6: Final answer
    x = 44,686.07

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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.