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Finding the Fourth Proportional to 100,266, 150,461.46 and 90,922.98

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Solution

The fourth proportional to 100,266, 150,461.46 and 90,922.98 is: 136,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,266 : 150,461.46 = 90,922.98 : x
  2. Step 2: Convert to fraction form
    100,266/150,461.46 = 90,922.98/x
  3. Step 3: Cross multiply
    100,266x = 150,461.46 × 90,922.98
  4. Step 4: Simplify right side
    100,266x = 13,680,404,318.35
  5. Step 5: Solve for x
    x = 13,680,404,318.35/100,266
  6. Step 6: Final answer
    x = 136,441.11

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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.