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Finding the Fourth Proportional to 66,517.36, 99,719.84 and 30,960.32

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Solution

The fourth proportional to 66,517.36, 99,719.84 and 30,960.32 is: 46,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,517.36 : 99,719.84 = 30,960.32 : x
  2. Step 2: Convert to fraction form
    66,517.36/99,719.84 = 30,960.32/x
  3. Step 3: Cross multiply
    66,517.36x = 99,719.84 × 30,960.32
  4. Step 4: Simplify right side
    66,517.36x = 3,087,358,156.75
  5. Step 5: Solve for x
    x = 3,087,358,156.75/66,517.36
  6. Step 6: Final answer
    x = 46,414.32

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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.