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Finding the Fourth Proportional to 137,830.72, 206,614.86 and 44,270.88

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Solution

The fourth proportional to 137,830.72, 206,614.86 and 44,270.88 is: 66,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,830.72 : 206,614.86 = 44,270.88 : x
  2. Step 2: Convert to fraction form
    137,830.72/206,614.86 = 44,270.88/x
  3. Step 3: Cross multiply
    137,830.72x = 206,614.86 × 44,270.88
  4. Step 4: Simplify right side
    137,830.72x = 9,147,021,673.28
  5. Step 5: Solve for x
    x = 9,147,021,673.28/137,830.72
  6. Step 6: Final answer
    x = 66,364.17

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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.