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Finding the Fourth Proportional to 225,830.40, 338,745.60 and 92,642.10

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Solution

The fourth proportional to 225,830.40, 338,745.60 and 92,642.10 is: 138,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,830.40 : 338,745.60 = 92,642.10 : x
  2. Step 2: Convert to fraction form
    225,830.40/338,745.60 = 92,642.10/x
  3. Step 3: Cross multiply
    225,830.40x = 338,745.60 × 92,642.10
  4. Step 4: Simplify right side
    225,830.40x = 31,382,103,749.76
  5. Step 5: Solve for x
    x = 31,382,103,749.76/225,830.40
  6. Step 6: Final answer
    x = 138,963.15

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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.