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Finding the Fourth Proportional to 66,142.64, 99,212.60 and 19,394.48

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Solution

The fourth proportional to 66,142.64, 99,212.60 and 19,394.48 is: 29,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,142.64 : 99,212.60 = 19,394.48 : x
  2. Step 2: Convert to fraction form
    66,142.64/99,212.60 = 19,394.48/x
  3. Step 3: Cross multiply
    66,142.64x = 99,212.60 × 19,394.48
  4. Step 4: Simplify right side
    66,142.64x = 1,924,176,786.45
  5. Step 5: Solve for x
    x = 1,924,176,786.45/66,142.64
  6. Step 6: Final answer
    x = 29,091.32

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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.