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Finding the Fourth Proportional to 214,231.72, 321,348.72 and 64,470.98

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Solution

The fourth proportional to 214,231.72, 321,348.72 and 64,470.98 is: 96,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,231.72 : 321,348.72 = 64,470.98 : x
  2. Step 2: Convert to fraction form
    214,231.72/321,348.72 = 64,470.98/x
  3. Step 3: Cross multiply
    214,231.72x = 321,348.72 × 64,470.98
  4. Step 4: Simplify right side
    214,231.72x = 20,717,666,577.79
  5. Step 5: Solve for x
    x = 20,717,666,577.79/214,231.72
  6. Step 6: Final answer
    x = 96,706.81

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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.