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Finding the Fourth Proportional to 115,259.72, 159,053.49 and 85,034.16

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Solution

The fourth proportional to 115,259.72, 159,053.49 and 85,034.16 is: 117,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,259.72 : 159,053.49 = 85,034.16 : x
  2. Step 2: Convert to fraction form
    115,259.72/159,053.49 = 85,034.16/x
  3. Step 3: Cross multiply
    115,259.72x = 159,053.49 × 85,034.16
  4. Step 4: Simplify right side
    115,259.72x = 13,524,979,917.22
  5. Step 5: Solve for x
    x = 13,524,979,917.22/115,259.72
  6. Step 6: Final answer
    x = 117,343.51

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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.