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Finding the Fourth Proportional to 66,608.72, 99,962.29 and 31,548.38

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Solution

The fourth proportional to 66,608.72, 99,962.29 and 31,548.38 is: 47,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,608.72 : 99,962.29 = 31,548.38 : x
  2. Step 2: Convert to fraction form
    66,608.72/99,962.29 = 31,548.38/x
  3. Step 3: Cross multiply
    66,608.72x = 99,962.29 × 31,548.38
  4. Step 4: Simplify right side
    66,608.72x = 3,153,647,731.91
  5. Step 5: Solve for x
    x = 3,153,647,731.91/66,608.72
  6. Step 6: Final answer
    x = 47,345.87

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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.