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Finding the Fourth Proportional to 100,295.58, 138,404.94 and 54,972.60

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Solution

The fourth proportional to 100,295.58, 138,404.94 and 54,972.60 is: 75,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,295.58 : 138,404.94 = 54,972.60 : x
  2. Step 2: Convert to fraction form
    100,295.58/138,404.94 = 54,972.60/x
  3. Step 3: Cross multiply
    100,295.58x = 138,404.94 × 54,972.60
  4. Step 4: Simplify right side
    100,295.58x = 7,608,479,404.64
  5. Step 5: Solve for x
    x = 7,608,479,404.64/100,295.58
  6. Step 6: Final answer
    x = 75,860.57

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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.