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Finding the Fourth Proportional to 137,540.30, 206,308.74 and 37,700.40

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Solution

The fourth proportional to 137,540.30, 206,308.74 and 37,700.40 is: 56,550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,540.30 : 206,308.74 = 37,700.40 : x
  2. Step 2: Convert to fraction form
    137,540.30/206,308.74 = 37,700.40/x
  3. Step 3: Cross multiply
    137,540.30x = 206,308.74 × 37,700.40
  4. Step 4: Simplify right side
    137,540.30x = 7,777,922,021.50
  5. Step 5: Solve for x
    x = 7,777,922,021.50/137,540.30
  6. Step 6: Final answer
    x = 56,550.13

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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.