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Finding the Fourth Proportional to 214,423.38, 321,663.87 and 81,352.98

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Solution

The fourth proportional to 214,423.38, 321,663.87 and 81,352.98 is: 122,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,423.38 : 321,663.87 = 81,352.98 : x
  2. Step 2: Convert to fraction form
    214,423.38/321,663.87 = 81,352.98/x
  3. Step 3: Cross multiply
    214,423.38x = 321,663.87 × 81,352.98
  4. Step 4: Simplify right side
    214,423.38x = 26,168,314,382.83
  5. Step 5: Solve for x
    x = 26,168,314,382.83/214,423.38
  6. Step 6: Final answer
    x = 122,040.40

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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.