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Finding the Fourth Proportional to 115,857.02, 159,885.11 and 65,556.02

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Solution

The fourth proportional to 115,857.02, 159,885.11 and 65,556.02 is: 90,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,857.02 : 159,885.11 = 65,556.02 : x
  2. Step 2: Convert to fraction form
    115,857.02/159,885.11 = 65,556.02/x
  3. Step 3: Cross multiply
    115,857.02x = 159,885.11 × 65,556.02
  4. Step 4: Simplify right side
    115,857.02x = 10,481,431,468.86
  5. Step 5: Solve for x
    x = 10,481,431,468.86/115,857.02
  6. Step 6: Final answer
    x = 90,468.68

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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.