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Finding the Fourth Proportional to 122,689.32, 184,035.84 and 80,837.46

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Solution

The fourth proportional to 122,689.32, 184,035.84 and 80,837.46 is: 121,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,689.32 : 184,035.84 = 80,837.46 : x
  2. Step 2: Convert to fraction form
    122,689.32/184,035.84 = 80,837.46/x
  3. Step 3: Cross multiply
    122,689.32x = 184,035.84 × 80,837.46
  4. Step 4: Simplify right side
    122,689.32x = 14,876,989,854.57
  5. Step 5: Solve for x
    x = 14,876,989,854.57/122,689.32
  6. Step 6: Final answer
    x = 121,257.42

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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.