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Finding the Fourth Proportional to 48,499.83, 66,891.84 and 31,509.54

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Solution

The fourth proportional to 48,499.83, 66,891.84 and 31,509.54 is: 43,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,499.83 : 66,891.84 = 31,509.54 : x
  2. Step 2: Convert to fraction form
    48,499.83/66,891.84 = 31,509.54/x
  3. Step 3: Cross multiply
    48,499.83x = 66,891.84 × 31,509.54
  4. Step 4: Simplify right side
    48,499.83x = 2,107,731,108.15
  5. Step 5: Solve for x
    x = 2,107,731,108.15/48,499.83
  6. Step 6: Final answer
    x = 43,458.53

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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.