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Finding the Fourth Proportional to 137,549.31, 206,255.91 and 48,789.51

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Solution

The fourth proportional to 137,549.31, 206,255.91 and 48,789.51 is: 73,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,549.31 : 206,255.91 = 48,789.51 : x
  2. Step 2: Convert to fraction form
    137,549.31/206,255.91 = 48,789.51/x
  3. Step 3: Cross multiply
    137,549.31x = 206,255.91 × 48,789.51
  4. Step 4: Simplify right side
    137,549.31x = 10,063,124,783.50
  5. Step 5: Solve for x
    x = 10,063,124,783.50/137,549.31
  6. Step 6: Final answer
    x = 73,160.13

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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.