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Finding the Fourth Proportional to 99,164.16, 136,843.20 and 54,451.20

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Solution

The fourth proportional to 99,164.16, 136,843.20 and 54,451.20 is: 75,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,164.16 : 136,843.20 = 54,451.20 : x
  2. Step 2: Convert to fraction form
    99,164.16/136,843.20 = 54,451.20/x
  3. Step 3: Cross multiply
    99,164.16x = 136,843.20 × 54,451.20
  4. Step 4: Simplify right side
    99,164.16x = 7,451,276,451.84
  5. Step 5: Solve for x
    x = 7,451,276,451.84/99,164.16
  6. Step 6: Final answer
    x = 75,140.82

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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.