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Finding the Fourth Proportional to 115,938, 159,997.68 and 65,640.24

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Solution

The fourth proportional to 115,938, 159,997.68 and 65,640.24 is: 90,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,938 : 159,997.68 = 65,640.24 : x
  2. Step 2: Convert to fraction form
    115,938/159,997.68 = 65,640.24/x
  3. Step 3: Cross multiply
    115,938x = 159,997.68 × 65,640.24
  4. Step 4: Simplify right side
    115,938x = 10,502,286,114.64
  5. Step 5: Solve for x
    x = 10,502,286,114.64/115,938
  6. Step 6: Final answer
    x = 90,585.37

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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.