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Finding the Fourth Proportional to 100,261.75, 138,361.22 and 59,977.21

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Solution

The fourth proportional to 100,261.75, 138,361.22 and 59,977.21 is: 82,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,261.75 : 138,361.22 = 59,977.21 : x
  2. Step 2: Convert to fraction form
    100,261.75/138,361.22 = 59,977.21/x
  3. Step 3: Cross multiply
    100,261.75x = 138,361.22 × 59,977.21
  4. Step 4: Simplify right side
    100,261.75x = 8,298,519,647.91
  5. Step 5: Solve for x
    x = 8,298,519,647.91/100,261.75
  6. Step 6: Final answer
    x = 82,768.55

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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.