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Finding the Fourth Proportional to 137,618.64, 206,426.88 and 37,778.46

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Solution

The fourth proportional to 137,618.64, 206,426.88 and 37,778.46 is: 56,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,618.64 : 206,426.88 = 37,778.46 : x
  2. Step 2: Convert to fraction form
    137,618.64/206,426.88 = 37,778.46/x
  3. Step 3: Cross multiply
    137,618.64x = 206,426.88 × 37,778.46
  4. Step 4: Simplify right side
    137,618.64x = 7,798,489,629.00
  5. Step 5: Solve for x
    x = 7,798,489,629.00/137,618.64
  6. Step 6: Final answer
    x = 56,667.39

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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.