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Finding the Fourth Proportional to 116,107.64, 160,230.38 and 65,131.70

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Solution

The fourth proportional to 116,107.64, 160,230.38 and 65,131.70 is: 89,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,107.64 : 160,230.38 = 65,131.70 : x
  2. Step 2: Convert to fraction form
    116,107.64/160,230.38 = 65,131.70/x
  3. Step 3: Cross multiply
    116,107.64x = 160,230.38 × 65,131.70
  4. Step 4: Simplify right side
    116,107.64x = 10,436,077,041.05
  5. Step 5: Solve for x
    x = 10,436,077,041.05/116,107.64
  6. Step 6: Final answer
    x = 89,882.78

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1.5x scale

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.