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Finding the Fourth Proportional to 100,604.25, 138,833.87 and 55,892.25

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Solution

The fourth proportional to 100,604.25, 138,833.87 and 55,892.25 is: 77,131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,604.25 : 138,833.87 = 55,892.25 : x
  2. Step 2: Convert to fraction form
    100,604.25/138,833.87 = 55,892.25/x
  3. Step 3: Cross multiply
    100,604.25x = 138,833.87 × 55,892.25
  4. Step 4: Simplify right side
    100,604.25x = 7,759,737,091.05
  5. Step 5: Solve for x
    x = 7,759,737,091.05/100,604.25
  6. Step 6: Final answer
    x = 77,131.31

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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.