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Finding the Fourth Proportional to 225,446.50, 338,221.59 and 77,702.50

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Solution

The fourth proportional to 225,446.50, 338,221.59 and 77,702.50 is: 116,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,446.50 : 338,221.59 = 77,702.50 : x
  2. Step 2: Convert to fraction form
    225,446.50/338,221.59 = 77,702.50/x
  3. Step 3: Cross multiply
    225,446.50x = 338,221.59 × 77,702.50
  4. Step 4: Simplify right side
    225,446.50x = 26,280,663,096.98
  5. Step 5: Solve for x
    x = 26,280,663,096.98/225,446.50
  6. Step 6: Final answer
    x = 116,571.62

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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.