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Finding the Fourth Proportional to 137,243.66, 189,245.85 and 89,408.30

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Solution

The fourth proportional to 137,243.66, 189,245.85 and 89,408.30 is: 123,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,243.66 : 189,245.85 = 89,408.30 : x
  2. Step 2: Convert to fraction form
    137,243.66/189,245.85 = 89,408.30/x
  3. Step 3: Cross multiply
    137,243.66x = 189,245.85 × 89,408.30
  4. Step 4: Simplify right side
    137,243.66x = 16,920,149,730.56
  5. Step 5: Solve for x
    x = 16,920,149,730.56/137,243.66
  6. Step 6: Final answer
    x = 123,285.47

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1.5x scale

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.