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Finding the Fourth Proportional to 80,389.71, 120,575.93 and 33,009.80

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Solution

The fourth proportional to 80,389.71, 120,575.93 and 33,009.80 is: 49,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,389.71 : 120,575.93 = 33,009.80 : x
  2. Step 2: Convert to fraction form
    80,389.71/120,575.93 = 33,009.80/x
  3. Step 3: Cross multiply
    80,389.71x = 120,575.93 × 33,009.80
  4. Step 4: Simplify right side
    80,389.71x = 3,980,186,566.19
  5. Step 5: Solve for x
    x = 3,980,186,566.19/80,389.71
  6. Step 6: Final answer
    x = 49,511.14

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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.