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Finding the Fourth Proportional to 137,475.74, 205,863.60 and 90,586.46

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Solution

The fourth proportional to 137,475.74, 205,863.60 and 90,586.46 is: 135,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,475.74 : 205,863.60 = 90,586.46 : x
  2. Step 2: Convert to fraction form
    137,475.74/205,863.60 = 90,586.46/x
  3. Step 3: Cross multiply
    137,475.74x = 205,863.60 × 90,586.46
  4. Step 4: Simplify right side
    137,475.74x = 18,648,454,766.86
  5. Step 5: Solve for x
    x = 18,648,454,766.86/137,475.74
  6. Step 6: Final answer
    x = 135,649.06

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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.