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Finding the Fourth Proportional to 137,835.30, 206,643.60 and 75,505.80

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Solution

The fourth proportional to 137,835.30, 206,643.60 and 75,505.80 is: 113,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,835.30 : 206,643.60 = 75,505.80 : x
  2. Step 2: Convert to fraction form
    137,835.30/206,643.60 = 75,505.80/x
  3. Step 3: Cross multiply
    137,835.30x = 206,643.60 × 75,505.80
  4. Step 4: Simplify right side
    137,835.30x = 15,602,790,332.88
  5. Step 5: Solve for x
    x = 15,602,790,332.88/137,835.30
  6. Step 6: Final answer
    x = 113,198.80

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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.