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Finding the Fourth Proportional to 66,730.64, 100,107.09 and 31,651.16

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Solution

The fourth proportional to 66,730.64, 100,107.09 and 31,651.16 is: 47,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,730.64 : 100,107.09 = 31,651.16 : x
  2. Step 2: Convert to fraction form
    66,730.64/100,107.09 = 31,651.16/x
  3. Step 3: Cross multiply
    66,730.64x = 100,107.09 × 31,651.16
  4. Step 4: Simplify right side
    66,730.64x = 3,168,505,022.19
  5. Step 5: Solve for x
    x = 3,168,505,022.19/66,730.64
  6. Step 6: Final answer
    x = 47,482.02

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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.