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Finding the Fourth Proportional to 137,262, 189,291.96 and 89,551.92

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Solution

The fourth proportional to 137,262, 189,291.96 and 89,551.92 is: 123,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,262 : 189,291.96 = 89,551.92 : x
  2. Step 2: Convert to fraction form
    137,262/189,291.96 = 89,551.92/x
  3. Step 3: Cross multiply
    137,262x = 189,291.96 × 89,551.92
  4. Step 4: Simplify right side
    137,262x = 16,951,458,458.56
  5. Step 5: Solve for x
    x = 16,951,458,458.56/137,262
  6. Step 6: Final answer
    x = 123,497.10

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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.