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Finding the Fourth Proportional to 73,293.40, 109,940.10 and 31,821.40

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Solution

The fourth proportional to 73,293.40, 109,940.10 and 31,821.40 is: 47,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,293.40 : 109,940.10 = 31,821.40 : x
  2. Step 2: Convert to fraction form
    73,293.40/109,940.10 = 31,821.40/x
  3. Step 3: Cross multiply
    73,293.40x = 109,940.10 × 31,821.40
  4. Step 4: Simplify right side
    73,293.40x = 3,498,447,898.14
  5. Step 5: Solve for x
    x = 3,498,447,898.14/73,293.40
  6. Step 6: Final answer
    x = 47,732.10

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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.