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Finding the Fourth Proportional to 100,410.33, 138,458.06 and 76,255.83

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Solution

The fourth proportional to 100,410.33, 138,458.06 and 76,255.83 is: 105,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410.33 : 138,458.06 = 76,255.83 : x
  2. Step 2: Convert to fraction form
    100,410.33/138,458.06 = 76,255.83/x
  3. Step 3: Cross multiply
    100,410.33x = 138,458.06 × 76,255.83
  4. Step 4: Simplify right side
    100,410.33x = 10,558,234,190.17
  5. Step 5: Solve for x
    x = 10,558,234,190.17/100,410.33
  6. Step 6: Final answer
    x = 105,150.87

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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.