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Finding the Fourth Proportional to 77,107.29, 114,958.52 and 75,168.15

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Solution

The fourth proportional to 77,107.29, 114,958.52 and 75,168.15 is: 112,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,107.29 : 114,958.52 = 75,168.15 : x
  2. Step 2: Convert to fraction form
    77,107.29/114,958.52 = 75,168.15/x
  3. Step 3: Cross multiply
    77,107.29x = 114,958.52 × 75,168.15
  4. Step 4: Simplify right side
    77,107.29x = 8,641,218,899.30
  5. Step 5: Solve for x
    x = 8,641,218,899.30/77,107.29
  6. Step 6: Final answer
    x = 112,067.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.