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Finding the Fourth Proportional to 66,505.64, 99,736.33 and 21,516.31

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Solution

The fourth proportional to 66,505.64, 99,736.33 and 21,516.31 is: 32,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,505.64 : 99,736.33 = 21,516.31 : x
  2. Step 2: Convert to fraction form
    66,505.64/99,736.33 = 21,516.31/x
  3. Step 3: Cross multiply
    66,505.64x = 99,736.33 × 21,516.31
  4. Step 4: Simplify right side
    66,505.64x = 2,145,957,740.75
  5. Step 5: Solve for x
    x = 2,145,957,740.75/66,505.64
  6. Step 6: Final answer
    x = 32,267.31

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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.