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Finding the Fourth Proportional to 90,458.93, 135,700.74 and 31,278.71

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Solution

The fourth proportional to 90,458.93, 135,700.74 and 31,278.71 is: 46,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,458.93 : 135,700.74 = 31,278.71 : x
  2. Step 2: Convert to fraction form
    90,458.93/135,700.74 = 31,278.71/x
  3. Step 3: Cross multiply
    90,458.93x = 135,700.74 × 31,278.71
  4. Step 4: Simplify right side
    90,458.93x = 4,244,544,093.25
  5. Step 5: Solve for x
    x = 4,244,544,093.25/90,458.93
  6. Step 6: Final answer
    x = 46,922.33

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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.