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Finding the Fourth Proportional to 73,165.50, 100,968.39 and 39,631.50

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Solution

The fourth proportional to 73,165.50, 100,968.39 and 39,631.50 is: 54,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,165.50 : 100,968.39 = 39,631.50 : x
  2. Step 2: Convert to fraction form
    73,165.50/100,968.39 = 39,631.50/x
  3. Step 3: Cross multiply
    73,165.50x = 100,968.39 × 39,631.50
  4. Step 4: Simplify right side
    73,165.50x = 4,001,528,748.29
  5. Step 5: Solve for x
    x = 4,001,528,748.29/73,165.50
  6. Step 6: Final answer
    x = 54,691.47

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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.