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Finding the Fourth Proportional to 200,422.20, 300,147.30 and 106,721.40

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Solution

The fourth proportional to 200,422.20, 300,147.30 and 106,721.40 is: 159,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,422.20 : 300,147.30 = 106,721.40 : x
  2. Step 2: Convert to fraction form
    200,422.20/300,147.30 = 106,721.40/x
  3. Step 3: Cross multiply
    200,422.20x = 300,147.30 × 106,721.40
  4. Step 4: Simplify right side
    200,422.20x = 32,032,140,062.22
  5. Step 5: Solve for x
    x = 32,032,140,062.22/200,422.20
  6. Step 6: Final answer
    x = 159,823.31

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1.5x scale

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.