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Finding the Fourth Proportional to 200,726.90, 300,827.55 and 100,999.70

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Solution

The fourth proportional to 200,726.90, 300,827.55 and 100,999.70 is: 151,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,726.90 : 300,827.55 = 100,999.70 : x
  2. Step 2: Convert to fraction form
    200,726.90/300,827.55 = 100,999.70/x
  3. Step 3: Cross multiply
    200,726.90x = 300,827.55 × 100,999.70
  4. Step 4: Simplify right side
    200,726.90x = 30,383,492,301.74
  5. Step 5: Solve for x
    x = 30,383,492,301.74/200,726.90
  6. Step 6: Final answer
    x = 151,367.32

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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.