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Finding the Fourth Proportional to 90,459.93, 135,702.24 and 31,279.71

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Solution

The fourth proportional to 90,459.93, 135,702.24 and 31,279.71 is: 46,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,459.93 : 135,702.24 = 31,279.71 : x
  2. Step 2: Convert to fraction form
    90,459.93/135,702.24 = 31,279.71/x
  3. Step 3: Cross multiply
    90,459.93x = 135,702.24 × 31,279.71
  4. Step 4: Simplify right side
    90,459.93x = 4,244,726,713.55
  5. Step 5: Solve for x
    x = 4,244,726,713.55/90,459.93
  6. Step 6: Final answer
    x = 46,923.83

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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.