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Finding the Fourth Proportional to 80,303.84, 120,409.07 and 30,387.80

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Solution

The fourth proportional to 80,303.84, 120,409.07 and 30,387.80 is: 45,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,303.84 : 120,409.07 = 30,387.80 : x
  2. Step 2: Convert to fraction form
    80,303.84/120,409.07 = 30,387.80/x
  3. Step 3: Cross multiply
    80,303.84x = 120,409.07 × 30,387.80
  4. Step 4: Simplify right side
    80,303.84x = 3,658,966,737.35
  5. Step 5: Solve for x
    x = 3,658,966,737.35/80,303.84
  6. Step 6: Final answer
    x = 45,564.03

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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.