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Finding the Fourth Proportional to 137,585.56, 206,378.38 and 90,827.50

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Solution

The fourth proportional to 137,585.56, 206,378.38 and 90,827.50 is: 136,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,585.56 : 206,378.38 = 90,827.50 : x
  2. Step 2: Convert to fraction form
    137,585.56/206,378.38 = 90,827.50/x
  3. Step 3: Cross multiply
    137,585.56x = 206,378.38 × 90,827.50
  4. Step 4: Simplify right side
    137,585.56x = 18,744,832,309.45
  5. Step 5: Solve for x
    x = 18,744,832,309.45/137,585.56
  6. Step 6: Final answer
    x = 136,241.28

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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.