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Finding the Fourth Proportional to 226,775.40, 340,199.10 and 77,029.80

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Solution

The fourth proportional to 226,775.40, 340,199.10 and 77,029.80 is: 115,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,775.40 : 340,199.10 = 77,029.80 : x
  2. Step 2: Convert to fraction form
    226,775.40/340,199.10 = 77,029.80/x
  3. Step 3: Cross multiply
    226,775.40x = 340,199.10 × 77,029.80
  4. Step 4: Simplify right side
    226,775.40x = 26,205,468,633.18
  5. Step 5: Solve for x
    x = 26,205,468,633.18/226,775.40
  6. Step 6: Final answer
    x = 115,556.93

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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.