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Finding the Fourth Proportional to 137,585.94, 206,378.94 and 90,827.88

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Solution

The fourth proportional to 137,585.94, 206,378.94 and 90,827.88 is: 136,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,585.94 : 206,378.94 = 90,827.88 : x
  2. Step 2: Convert to fraction form
    137,585.94/206,378.94 = 90,827.88/x
  3. Step 3: Cross multiply
    137,585.94x = 206,378.94 × 90,827.88
  4. Step 4: Simplify right side
    137,585.94x = 18,744,961,596.85
  5. Step 5: Solve for x
    x = 18,744,961,596.85/137,585.94
  6. Step 6: Final answer
    x = 136,241.84

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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.