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Finding the Fourth Proportional to 80,323.74, 120,491.46 and 21,159

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Solution

The fourth proportional to 80,323.74, 120,491.46 and 21,159 is: 31,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,323.74 : 120,491.46 = 21,159 : x
  2. Step 2: Convert to fraction form
    80,323.74/120,491.46 = 21,159/x
  3. Step 3: Cross multiply
    80,323.74x = 120,491.46 × 21,159
  4. Step 4: Simplify right side
    80,323.74x = 2,549,478,802.14
  5. Step 5: Solve for x
    x = 2,549,478,802.14/80,323.74
  6. Step 6: Final answer
    x = 31,740.04

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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.