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Finding the Fourth Proportional to 213,098.10, 319,647.15 and 134,301.30

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Solution

The fourth proportional to 213,098.10, 319,647.15 and 134,301.30 is: 201,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,098.10 : 319,647.15 = 134,301.30 : x
  2. Step 2: Convert to fraction form
    213,098.10/319,647.15 = 134,301.30/x
  3. Step 3: Cross multiply
    213,098.10x = 319,647.15 × 134,301.30
  4. Step 4: Simplify right side
    213,098.10x = 42,929,027,786.30
  5. Step 5: Solve for x
    x = 42,929,027,786.30/213,098.10
  6. Step 6: Final answer
    x = 201,451.95

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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.