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Finding the Fourth Proportional to 214,155.99, 321,007.94 and 71,866.35

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Solution

The fourth proportional to 214,155.99, 321,007.94 and 71,866.35 is: 107,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,155.99 : 321,007.94 = 71,866.35 : x
  2. Step 2: Convert to fraction form
    214,155.99/321,007.94 = 71,866.35/x
  3. Step 3: Cross multiply
    214,155.99x = 321,007.94 × 71,866.35
  4. Step 4: Simplify right side
    214,155.99x = 23,069,670,082.77
  5. Step 5: Solve for x
    x = 23,069,670,082.77/214,155.99
  6. Step 6: Final answer
    x = 107,723.67

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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.