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Finding the Fourth Proportional to 213,186.54, 319,724.10 and 63,386.49

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Solution

The fourth proportional to 213,186.54, 319,724.10 and 63,386.49 is: 95,063.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,186.54 : 319,724.10 = 63,386.49 : x
  2. Step 2: Convert to fraction form
    213,186.54/319,724.10 = 63,386.49/x
  3. Step 3: Cross multiply
    213,186.54x = 319,724.10 × 63,386.49
  4. Step 4: Simplify right side
    213,186.54x = 20,266,188,467.41
  5. Step 5: Solve for x
    x = 20,266,188,467.41/213,186.54
  6. Step 6: Final answer
    x = 95,063.17

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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.