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Finding the Fourth Proportional to 102,269.90, 141,149.67 and 65,961.14

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Solution

The fourth proportional to 102,269.90, 141,149.67 and 65,961.14 is: 91,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,269.90 : 141,149.67 = 65,961.14 : x
  2. Step 2: Convert to fraction form
    102,269.90/141,149.67 = 65,961.14/x
  3. Step 3: Cross multiply
    102,269.90x = 141,149.67 × 65,961.14
  4. Step 4: Simplify right side
    102,269.90x = 9,310,393,143.82
  5. Step 5: Solve for x
    x = 9,310,393,143.82/102,269.90
  6. Step 6: Final answer
    x = 91,037.47

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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.