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Finding the Fourth Proportional to 73,991.48, 102,107.99 and 42,165.77

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Solution

The fourth proportional to 73,991.48, 102,107.99 and 42,165.77 is: 58,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,991.48 : 102,107.99 = 42,165.77 : x
  2. Step 2: Convert to fraction form
    73,991.48/102,107.99 = 42,165.77/x
  3. Step 3: Cross multiply
    73,991.48x = 102,107.99 × 42,165.77
  4. Step 4: Simplify right side
    73,991.48x = 4,305,461,616.38
  5. Step 5: Solve for x
    x = 4,305,461,616.38/73,991.48
  6. Step 6: Final answer
    x = 58,188.62

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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.