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Finding the Fourth Proportional to 90,531.84, 135,809.91 and 34,392.90

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Solution

The fourth proportional to 90,531.84, 135,809.91 and 34,392.90 is: 51,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,531.84 : 135,809.91 = 34,392.90 : x
  2. Step 2: Convert to fraction form
    90,531.84/135,809.91 = 34,392.90/x
  3. Step 3: Cross multiply
    90,531.84x = 135,809.91 × 34,392.90
  4. Step 4: Simplify right side
    90,531.84x = 4,670,896,653.64
  5. Step 5: Solve for x
    x = 4,670,896,653.64/90,531.84
  6. Step 6: Final answer
    x = 51,593.97

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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.