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Finding the Fourth Proportional to 100,099.40, 138,137.17 and 54,777.40

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Solution

The fourth proportional to 100,099.40, 138,137.17 and 54,777.40 is: 75,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,099.40 : 138,137.17 = 54,777.40 : x
  2. Step 2: Convert to fraction form
    100,099.40/138,137.17 = 54,777.40/x
  3. Step 3: Cross multiply
    100,099.40x = 138,137.17 × 54,777.40
  4. Step 4: Simplify right side
    100,099.40x = 7,566,795,015.96
  5. Step 5: Solve for x
    x = 7,566,795,015.96/100,099.40
  6. Step 6: Final answer
    x = 75,592.81

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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.