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Finding the Fourth Proportional to 214,287, 321,494.74 and 64,532.16

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Solution

The fourth proportional to 214,287, 321,494.74 and 64,532.16 is: 96,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,287 : 321,494.74 = 64,532.16 : x
  2. Step 2: Convert to fraction form
    214,287/321,494.74 = 64,532.16/x
  3. Step 3: Cross multiply
    214,287x = 321,494.74 × 64,532.16
  4. Step 4: Simplify right side
    214,287x = 20,746,750,000.84
  5. Step 5: Solve for x
    x = 20,746,750,000.84/214,287
  6. Step 6: Final answer
    x = 96,817.59

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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.