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Finding the Fourth Proportional to 137,260, 189,289.20 and 89,549.92

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Solution

The fourth proportional to 137,260, 189,289.20 and 89,549.92 is: 123,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,260 : 189,289.20 = 89,549.92 : x
  2. Step 2: Convert to fraction form
    137,260/189,289.20 = 89,549.92/x
  3. Step 3: Cross multiply
    137,260x = 189,289.20 × 89,549.92
  4. Step 4: Simplify right side
    137,260x = 16,950,832,716.86
  5. Step 5: Solve for x
    x = 16,950,832,716.86/137,260
  6. Step 6: Final answer
    x = 123,494.34

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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.