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Finding the Fourth Proportional to 100,233.74, 138,322.73 and 54,910.73

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Solution

The fourth proportional to 100,233.74, 138,322.73 and 54,910.73 is: 75,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,233.74 : 138,322.73 = 54,910.73 : x
  2. Step 2: Convert to fraction form
    100,233.74/138,322.73 = 54,910.73/x
  3. Step 3: Cross multiply
    100,233.74x = 138,322.73 × 54,910.73
  4. Step 4: Simplify right side
    100,233.74x = 7,595,402,079.89
  5. Step 5: Solve for x
    x = 7,595,402,079.89/100,233.74
  6. Step 6: Final answer
    x = 75,776.90

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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.