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Finding the Fourth Proportional to 214,099.59, 321,156.69 and 101,721.81

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Solution

The fourth proportional to 214,099.59, 321,156.69 and 101,721.81 is: 152,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,099.59 : 321,156.69 = 101,721.81 : x
  2. Step 2: Convert to fraction form
    214,099.59/321,156.69 = 101,721.81/x
  3. Step 3: Cross multiply
    214,099.59x = 321,156.69 × 101,721.81
  4. Step 4: Simplify right side
    214,099.59x = 32,668,639,800.41
  5. Step 5: Solve for x
    x = 32,668,639,800.41/214,099.59
  6. Step 6: Final answer
    x = 152,586.19

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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.