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Finding the Fourth Proportional to 143,338.06, 215,006.28 and 49,843

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Solution

The fourth proportional to 143,338.06, 215,006.28 and 49,843 is: 74,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,338.06 : 215,006.28 = 49,843 : x
  2. Step 2: Convert to fraction form
    143,338.06/215,006.28 = 49,843/x
  3. Step 3: Cross multiply
    143,338.06x = 215,006.28 × 49,843
  4. Step 4: Simplify right side
    143,338.06x = 10,716,558,014.04
  5. Step 5: Solve for x
    x = 10,716,558,014.04/143,338.06
  6. Step 6: Final answer
    x = 74,764.22

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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.