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Finding the Fourth Proportional to 109,097.20, 163,645.80 and 90,665.20

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Solution

The fourth proportional to 109,097.20, 163,645.80 and 90,665.20 is: 135,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,097.20 : 163,645.80 = 90,665.20 : x
  2. Step 2: Convert to fraction form
    109,097.20/163,645.80 = 90,665.20/x
  3. Step 3: Cross multiply
    109,097.20x = 163,645.80 × 90,665.20
  4. Step 4: Simplify right side
    109,097.20x = 14,836,979,186.16
  5. Step 5: Solve for x
    x = 14,836,979,186.16/109,097.20
  6. Step 6: Final answer
    x = 135,997.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.