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Finding the Fourth Proportional to 66,212.64, 99,318.90 and 19,465.50

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Solution

The fourth proportional to 66,212.64, 99,318.90 and 19,465.50 is: 29,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,212.64 : 99,318.90 = 19,465.50 : x
  2. Step 2: Convert to fraction form
    66,212.64/99,318.90 = 19,465.50/x
  3. Step 3: Cross multiply
    66,212.64x = 99,318.90 × 19,465.50
  4. Step 4: Simplify right side
    66,212.64x = 1,933,292,047.95
  5. Step 5: Solve for x
    x = 1,933,292,047.95/66,212.64
  6. Step 6: Final answer
    x = 29,198.23

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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.