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Finding the Fourth Proportional to 148,165.68, 204,473.52 and 81,097.68

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Solution

The fourth proportional to 148,165.68, 204,473.52 and 81,097.68 is: 111,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,165.68 : 204,473.52 = 81,097.68 : x
  2. Step 2: Convert to fraction form
    148,165.68/204,473.52 = 81,097.68/x
  3. Step 3: Cross multiply
    148,165.68x = 204,473.52 × 81,097.68
  4. Step 4: Simplify right side
    148,165.68x = 16,582,328,093.43
  5. Step 5: Solve for x
    x = 16,582,328,093.43/148,165.68
  6. Step 6: Final answer
    x = 111,917.47

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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.