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Finding the Fourth Proportional to 80,564.29, 120,837.93 and 21,405.94

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Solution

The fourth proportional to 80,564.29, 120,837.93 and 21,405.94 is: 32,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,564.29 : 120,837.93 = 21,405.94 : x
  2. Step 2: Convert to fraction form
    80,564.29/120,837.93 = 21,405.94/x
  3. Step 3: Cross multiply
    80,564.29x = 120,837.93 × 21,405.94
  4. Step 4: Simplify right side
    80,564.29x = 2,586,649,479.30
  5. Step 5: Solve for x
    x = 2,586,649,479.30/80,564.29
  6. Step 6: Final answer
    x = 32,106.65

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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.