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Finding the Fourth Proportional to 137,585.43, 206,378.19 and 90,827.37

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Solution

The fourth proportional to 137,585.43, 206,378.19 and 90,827.37 is: 136,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,585.43 : 206,378.19 = 90,827.37 : x
  2. Step 2: Convert to fraction form
    137,585.43/206,378.19 = 90,827.37/x
  3. Step 3: Cross multiply
    137,585.43x = 206,378.19 × 90,827.37
  4. Step 4: Simplify right side
    137,585.43x = 18,744,788,223.06
  5. Step 5: Solve for x
    x = 18,744,788,223.06/137,585.43
  6. Step 6: Final answer
    x = 136,241.08

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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.