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Finding the Fourth Proportional to 137,851.61, 206,776.80 and 49,108.41

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Solution

The fourth proportional to 137,851.61, 206,776.80 and 49,108.41 is: 73,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,851.61 : 206,776.80 = 49,108.41 : x
  2. Step 2: Convert to fraction form
    137,851.61/206,776.80 = 49,108.41/x
  3. Step 3: Cross multiply
    137,851.61x = 206,776.80 × 49,108.41
  4. Step 4: Simplify right side
    137,851.61x = 10,154,479,872.89
  5. Step 5: Solve for x
    x = 10,154,479,872.89/137,851.61
  6. Step 6: Final answer
    x = 73,662.40

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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.