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Finding the Fourth Proportional to 213,289.66, 319,951.50 and 73,049.50

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Solution

The fourth proportional to 213,289.66, 319,951.50 and 73,049.50 is: 109,580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,289.66 : 319,951.50 = 73,049.50 : x
  2. Step 2: Convert to fraction form
    213,289.66/319,951.50 = 73,049.50/x
  3. Step 3: Cross multiply
    213,289.66x = 319,951.50 × 73,049.50
  4. Step 4: Simplify right side
    213,289.66x = 23,372,297,099.25
  5. Step 5: Solve for x
    x = 23,372,297,099.25/213,289.66
  6. Step 6: Final answer
    x = 109,580.08

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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.