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Finding the Fourth Proportional to 214,123.65, 321,121.49 and 64,323.87

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Solution

The fourth proportional to 214,123.65, 321,121.49 and 64,323.87 is: 96,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,123.65 : 321,121.49 = 64,323.87 : x
  2. Step 2: Convert to fraction form
    214,123.65/321,121.49 = 64,323.87/x
  3. Step 3: Cross multiply
    214,123.65x = 321,121.49 × 64,323.87
  4. Step 4: Simplify right side
    214,123.65x = 20,655,776,655.35
  5. Step 5: Solve for x
    x = 20,655,776,655.35/214,123.65
  6. Step 6: Final answer
    x = 96,466.58

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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.