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Finding the Fourth Proportional to 100,151.92, 138,209.69 and 54,832.84

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Solution

The fourth proportional to 100,151.92, 138,209.69 and 54,832.84 is: 75,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,151.92 : 138,209.69 = 54,832.84 : x
  2. Step 2: Convert to fraction form
    100,151.92/138,209.69 = 54,832.84/x
  3. Step 3: Cross multiply
    100,151.92x = 138,209.69 × 54,832.84
  4. Step 4: Simplify right side
    100,151.92x = 7,578,429,609.78
  5. Step 5: Solve for x
    x = 7,578,429,609.78/100,151.92
  6. Step 6: Final answer
    x = 75,669.34

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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.