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Finding the Fourth Proportional to 73,896.64, 101,976.96 and 40,362.40

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Solution

The fourth proportional to 73,896.64, 101,976.96 and 40,362.40 is: 55,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,896.64 : 101,976.96 = 40,362.40 : x
  2. Step 2: Convert to fraction form
    73,896.64/101,976.96 = 40,362.40/x
  3. Step 3: Cross multiply
    73,896.64x = 101,976.96 × 40,362.40
  4. Step 4: Simplify right side
    73,896.64x = 4,116,034,850.30
  5. Step 5: Solve for x
    x = 4,116,034,850.30/73,896.64
  6. Step 6: Final answer
    x = 55,699.89

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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.