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Finding the Fourth Proportional to 115,898.02, 159,911.85 and 65,597.02

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Solution

The fourth proportional to 115,898.02, 159,911.85 and 65,597.02 is: 90,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,898.02 : 159,911.85 = 65,597.02 : x
  2. Step 2: Convert to fraction form
    115,898.02/159,911.85 = 65,597.02/x
  3. Step 3: Cross multiply
    115,898.02x = 159,911.85 × 65,597.02
  4. Step 4: Simplify right side
    115,898.02x = 10,489,740,422.91
  5. Step 5: Solve for x
    x = 10,489,740,422.91/115,898.02
  6. Step 6: Final answer
    x = 90,508.37

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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.