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Finding the Fourth Proportional to 213,234.72, 319,916 and 63,480.24

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Solution

The fourth proportional to 213,234.72, 319,916 and 63,480.24 is: 95,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,234.72 : 319,916 = 63,480.24 : x
  2. Step 2: Convert to fraction form
    213,234.72/319,916 = 63,480.24/x
  3. Step 3: Cross multiply
    213,234.72x = 319,916 × 63,480.24
  4. Step 4: Simplify right side
    213,234.72x = 20,308,344,459.84
  5. Step 5: Solve for x
    x = 20,308,344,459.84/213,234.72
  6. Step 6: Final answer
    x = 95,239.39

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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.