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Finding the Fourth Proportional to 138,103.86, 206,008.26 and 135,820.26

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Solution

The fourth proportional to 138,103.86, 206,008.26 and 135,820.26 is: 202,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,103.86 : 206,008.26 = 135,820.26 : x
  2. Step 2: Convert to fraction form
    138,103.86/206,008.26 = 135,820.26/x
  3. Step 3: Cross multiply
    138,103.86x = 206,008.26 × 135,820.26
  4. Step 4: Simplify right side
    138,103.86x = 27,980,095,435.35
  5. Step 5: Solve for x
    x = 27,980,095,435.35/138,103.86
  6. Step 6: Final answer
    x = 202,601.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.