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Finding the Fourth Proportional to 77,378.97, 116,030.13 and 27,451.57

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Solution

The fourth proportional to 77,378.97, 116,030.13 and 27,451.57 is: 41,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,378.97 : 116,030.13 = 27,451.57 : x
  2. Step 2: Convert to fraction form
    77,378.97/116,030.13 = 27,451.57/x
  3. Step 3: Cross multiply
    77,378.97x = 116,030.13 × 27,451.57
  4. Step 4: Simplify right side
    77,378.97x = 3,185,209,235.80
  5. Step 5: Solve for x
    x = 3,185,209,235.80/77,378.97
  6. Step 6: Final answer
    x = 41,163.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.