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Finding the Fourth Proportional to 90,373.84, 135,578.88 and 31,211.68

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Solution

The fourth proportional to 90,373.84, 135,578.88 and 31,211.68 is: 46,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,373.84 : 135,578.88 = 31,211.68 : x
  2. Step 2: Convert to fraction form
    90,373.84/135,578.88 = 31,211.68/x
  3. Step 3: Cross multiply
    90,373.84x = 135,578.88 × 31,211.68
  4. Step 4: Simplify right side
    90,373.84x = 4,231,644,617.32
  5. Step 5: Solve for x
    x = 4,231,644,617.32/90,373.84
  6. Step 6: Final answer
    x = 46,823.78

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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.