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Finding the Fourth Proportional to 100,705.91, 150,730.20 and 74,044.82

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Solution

The fourth proportional to 100,705.91, 150,730.20 and 74,044.82 is: 110,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,705.91 : 150,730.20 = 74,044.82 : x
  2. Step 2: Convert to fraction form
    100,705.91/150,730.20 = 74,044.82/x
  3. Step 3: Cross multiply
    100,705.91x = 150,730.20 × 74,044.82
  4. Step 4: Simplify right side
    100,705.91x = 11,160,790,904.39
  5. Step 5: Solve for x
    x = 11,160,790,904.39/100,705.91
  6. Step 6: Final answer
    x = 110,825.59

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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.