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Finding the Fourth Proportional to 137,405.30, 189,617.56 and 76,974.84

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Solution

The fourth proportional to 137,405.30, 189,617.56 and 76,974.84 is: 106,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,405.30 : 189,617.56 = 76,974.84 : x
  2. Step 2: Convert to fraction form
    137,405.30/189,617.56 = 76,974.84/x
  3. Step 3: Cross multiply
    137,405.30x = 189,617.56 × 76,974.84
  4. Step 4: Simplify right side
    137,405.30x = 14,595,781,149.75
  5. Step 5: Solve for x
    x = 14,595,781,149.75/137,405.30
  6. Step 6: Final answer
    x = 106,224.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.