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Finding the Fourth Proportional to 231,684.72, 319,629.90 and 140,967.96

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Solution

The fourth proportional to 231,684.72, 319,629.90 and 140,967.96 is: 194,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,684.72 : 319,629.90 = 140,967.96 : x
  2. Step 2: Convert to fraction form
    231,684.72/319,629.90 = 140,967.96/x
  3. Step 3: Cross multiply
    231,684.72x = 319,629.90 × 140,967.96
  4. Step 4: Simplify right side
    231,684.72x = 45,057,574,958.00
  5. Step 5: Solve for x
    x = 45,057,574,958.00/231,684.72
  6. Step 6: Final answer
    x = 194,477.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.