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Finding the Fourth Proportional to 106,553.92, 146,995.68 and 61,816

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Solution

The fourth proportional to 106,553.92, 146,995.68 and 61,816 is: 85,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,553.92 : 146,995.68 = 61,816 : x
  2. Step 2: Convert to fraction form
    106,553.92/146,995.68 = 61,816/x
  3. Step 3: Cross multiply
    106,553.92x = 146,995.68 × 61,816
  4. Step 4: Simplify right side
    106,553.92x = 9,086,684,954.88
  5. Step 5: Solve for x
    x = 9,086,684,954.88/106,553.92
  6. Step 6: Final answer
    x = 85,277.81

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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.