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Finding the Fourth Proportional to 137,567.70, 206,351.55 and 118,540.80

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Solution

The fourth proportional to 137,567.70, 206,351.55 and 118,540.80 is: 177,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,567.70 : 206,351.55 = 118,540.80 : x
  2. Step 2: Convert to fraction form
    137,567.70/206,351.55 = 118,540.80/x
  3. Step 3: Cross multiply
    137,567.70x = 206,351.55 × 118,540.80
  4. Step 4: Simplify right side
    137,567.70x = 24,461,077,818.24
  5. Step 5: Solve for x
    x = 24,461,077,818.24/137,567.70
  6. Step 6: Final answer
    x = 177,811.20

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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.