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Finding the Fourth Proportional to 100,232.40, 138,319.20 and 54,910.20

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Solution

The fourth proportional to 100,232.40, 138,319.20 and 54,910.20 is: 75,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,232.40 : 138,319.20 = 54,910.20 : x
  2. Step 2: Convert to fraction form
    100,232.40/138,319.20 = 54,910.20/x
  3. Step 3: Cross multiply
    100,232.40x = 138,319.20 × 54,910.20
  4. Step 4: Simplify right side
    100,232.40x = 7,595,134,935.84
  5. Step 5: Solve for x
    x = 7,595,134,935.84/100,232.40
  6. Step 6: Final answer
    x = 75,775.25

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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.