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Finding the Fourth Proportional to 214,578, 321,762.78 and 64,789.56

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Solution

The fourth proportional to 214,578, 321,762.78 and 64,789.56 is: 97,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,578 : 321,762.78 = 64,789.56 : x
  2. Step 2: Convert to fraction form
    214,578/321,762.78 = 64,789.56/x
  3. Step 3: Cross multiply
    214,578x = 321,762.78 × 64,789.56
  4. Step 4: Simplify right side
    214,578x = 20,846,868,940.58
  5. Step 5: Solve for x
    x = 20,846,868,940.58/214,578
  6. Step 6: Final answer
    x = 97,152.87

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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.