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Finding the Fourth Proportional to 90,554.62, 135,832 and 31,390.34

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Solution

The fourth proportional to 90,554.62, 135,832 and 31,390.34 is: 47,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,554.62 : 135,832 = 31,390.34 : x
  2. Step 2: Convert to fraction form
    90,554.62/135,832 = 31,390.34/x
  3. Step 3: Cross multiply
    90,554.62x = 135,832 × 31,390.34
  4. Step 4: Simplify right side
    90,554.62x = 4,263,812,662.88
  5. Step 5: Solve for x
    x = 4,263,812,662.88/90,554.62
  6. Step 6: Final answer
    x = 47,085.53

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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.