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Finding the Fourth Proportional to 101,740.25, 140,239.76 and 80,195.06

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Solution

The fourth proportional to 101,740.25, 140,239.76 and 80,195.06 is: 110,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,740.25 : 140,239.76 = 80,195.06 : x
  2. Step 2: Convert to fraction form
    101,740.25/140,239.76 = 80,195.06/x
  3. Step 3: Cross multiply
    101,740.25x = 140,239.76 × 80,195.06
  4. Step 4: Simplify right side
    101,740.25x = 11,246,535,917.21
  5. Step 5: Solve for x
    x = 11,246,535,917.21/101,740.25
  6. Step 6: Final answer
    x = 110,541.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.