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Finding the Fourth Proportional to 137,437.74, 205,806.60 and 90,548.46

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Solution

The fourth proportional to 137,437.74, 205,806.60 and 90,548.46 is: 135,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,437.74 : 205,806.60 = 90,548.46 : x
  2. Step 2: Convert to fraction form
    137,437.74/205,806.60 = 90,548.46/x
  3. Step 3: Cross multiply
    137,437.74x = 205,806.60 × 90,548.46
  4. Step 4: Simplify right side
    137,437.74x = 18,635,470,687.84
  5. Step 5: Solve for x
    x = 18,635,470,687.84/137,437.74
  6. Step 6: Final answer
    x = 135,592.09

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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.