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Finding the Fourth Proportional to 106,685, 159,997.26 and 44,278.28

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Solution

The fourth proportional to 106,685, 159,997.26 and 44,278.28 is: 66,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,685 : 159,997.26 = 44,278.28 : x
  2. Step 2: Convert to fraction form
    106,685/159,997.26 = 44,278.28/x
  3. Step 3: Cross multiply
    106,685x = 159,997.26 × 44,278.28
  4. Step 4: Simplify right side
    106,685x = 7,084,403,477.51
  5. Step 5: Solve for x
    x = 7,084,403,477.51/106,685
  6. Step 6: Final answer
    x = 66,404.87

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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.