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Finding the Fourth Proportional to 100,147.00, 138,202.85 and 54,824.84

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Solution

The fourth proportional to 100,147.00, 138,202.85 and 54,824.84 is: 75,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,147.00 : 138,202.85 = 54,824.84 : x
  2. Step 2: Convert to fraction form
    100,147.00/138,202.85 = 54,824.84/x
  3. Step 3: Cross multiply
    100,147.00x = 138,202.85 × 54,824.84
  4. Step 4: Simplify right side
    100,147.00x = 7,576,949,744.77
  5. Step 5: Solve for x
    x = 7,576,949,744.77/100,147.00
  6. Step 6: Final answer
    x = 75,658.28

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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.