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Finding the Fourth Proportional to 73,143.89, 109,730.87 and 33,143.66

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Solution

The fourth proportional to 73,143.89, 109,730.87 and 33,143.66 is: 49,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,143.89 : 109,730.87 = 33,143.66 : x
  2. Step 2: Convert to fraction form
    73,143.89/109,730.87 = 33,143.66/x
  3. Step 3: Cross multiply
    73,143.89x = 109,730.87 × 33,143.66
  4. Step 4: Simplify right side
    73,143.89x = 3,636,881,932.41
  5. Step 5: Solve for x
    x = 3,636,881,932.41/73,143.89
  6. Step 6: Final answer
    x = 49,722.30

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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.