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Finding the Fourth Proportional to 226,978.80, 340,662.60 and 100,813.20

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Solution

The fourth proportional to 226,978.80, 340,662.60 and 100,813.20 is: 151,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,978.80 : 340,662.60 = 100,813.20 : x
  2. Step 2: Convert to fraction form
    226,978.80/340,662.60 = 100,813.20/x
  3. Step 3: Cross multiply
    226,978.80x = 340,662.60 × 100,813.20
  4. Step 4: Simplify right side
    226,978.80x = 34,343,286,826.32
  5. Step 5: Solve for x
    x = 34,343,286,826.32/226,978.80
  6. Step 6: Final answer
    x = 151,306.14

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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.