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Finding the Fourth Proportional to 214,510.60, 321,860.94 and 74,369.80

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Solution

The fourth proportional to 214,510.60, 321,860.94 and 74,369.80 is: 111,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,510.60 : 321,860.94 = 74,369.80 : x
  2. Step 2: Convert to fraction form
    214,510.60/321,860.94 = 74,369.80/x
  3. Step 3: Cross multiply
    214,510.60x = 321,860.94 × 74,369.80
  4. Step 4: Simplify right side
    214,510.60x = 23,936,733,735.61
  5. Step 5: Solve for x
    x = 23,936,733,735.61/214,510.60
  6. Step 6: Final answer
    x = 111,587.65

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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.