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Finding the Fourth Proportional to 276,596.22, 414,968.16 and 99,121.17

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Solution

The fourth proportional to 276,596.22, 414,968.16 and 99,121.17 is: 148,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,596.22 : 414,968.16 = 99,121.17 : x
  2. Step 2: Convert to fraction form
    276,596.22/414,968.16 = 99,121.17/x
  3. Step 3: Cross multiply
    276,596.22x = 414,968.16 × 99,121.17
  4. Step 4: Simplify right side
    276,596.22x = 41,132,129,717.80
  5. Step 5: Solve for x
    x = 41,132,129,717.80/276,596.22
  6. Step 6: Final answer
    x = 148,708.21

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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.