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Finding the Fourth Proportional to 213,005, 319,479.74 and 63,242.28

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Solution

The fourth proportional to 213,005, 319,479.74 and 63,242.28 is: 94,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,005 : 319,479.74 = 63,242.28 : x
  2. Step 2: Convert to fraction form
    213,005/319,479.74 = 63,242.28/x
  3. Step 3: Cross multiply
    213,005x = 319,479.74 × 63,242.28
  4. Step 4: Simplify right side
    213,005x = 20,204,627,171.41
  5. Step 5: Solve for x
    x = 20,204,627,171.41/213,005
  6. Step 6: Final answer
    x = 94,855.18

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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.