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Finding the Fourth Proportional to 102,267.90, 141,146.91 and 65,959.14

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Solution

The fourth proportional to 102,267.90, 141,146.91 and 65,959.14 is: 91,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,267.90 : 141,146.91 = 65,959.14 : x
  2. Step 2: Convert to fraction form
    102,267.90/141,146.91 = 65,959.14/x
  3. Step 3: Cross multiply
    102,267.90x = 141,146.91 × 65,959.14
  4. Step 4: Simplify right side
    102,267.90x = 9,309,928,797.26
  5. Step 5: Solve for x
    x = 9,309,928,797.26/102,267.90
  6. Step 6: Final answer
    x = 91,034.71

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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.