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Finding the Fourth Proportional to 100,102.96, 137,406.16 and 88,518.56

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Solution

The fourth proportional to 100,102.96, 137,406.16 and 88,518.56 is: 121,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,102.96 : 137,406.16 = 88,518.56 : x
  2. Step 2: Convert to fraction form
    100,102.96/137,406.16 = 88,518.56/x
  3. Step 3: Cross multiply
    100,102.96x = 137,406.16 × 88,518.56
  4. Step 4: Simplify right side
    100,102.96x = 12,162,995,418.33
  5. Step 5: Solve for x
    x = 12,162,995,418.33/100,102.96
  6. Step 6: Final answer
    x = 121,504.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.