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Finding the Fourth Proportional to 100,431.44, 138,597 and 57,993.68

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Solution

The fourth proportional to 100,431.44, 138,597 and 57,993.68 is: 80,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,431.44 : 138,597 = 57,993.68 : x
  2. Step 2: Convert to fraction form
    100,431.44/138,597 = 57,993.68/x
  3. Step 3: Cross multiply
    100,431.44x = 138,597 × 57,993.68
  4. Step 4: Simplify right side
    100,431.44x = 8,037,750,066.96
  5. Step 5: Solve for x
    x = 8,037,750,066.96/100,431.44
  6. Step 6: Final answer
    x = 80,032.21

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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.