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Finding the Fourth Proportional to 121,819.61, 182,755.49 and 36,437.16

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Solution

The fourth proportional to 121,819.61, 182,755.49 and 36,437.16 is: 54,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,819.61 : 182,755.49 = 36,437.16 : x
  2. Step 2: Convert to fraction form
    121,819.61/182,755.49 = 36,437.16/x
  3. Step 3: Cross multiply
    121,819.61x = 182,755.49 × 36,437.16
  4. Step 4: Simplify right side
    121,819.61x = 6,659,090,847.82
  5. Step 5: Solve for x
    x = 6,659,090,847.82/121,819.61
  6. Step 6: Final answer
    x = 54,663.54

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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.