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Finding the Fourth Proportional to 210,099.06, 315,151.34 and 69,857.69

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Solution

The fourth proportional to 210,099.06, 315,151.34 and 69,857.69 is: 104,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,099.06 : 315,151.34 = 69,857.69 : x
  2. Step 2: Convert to fraction form
    210,099.06/315,151.34 = 69,857.69/x
  3. Step 3: Cross multiply
    210,099.06x = 315,151.34 × 69,857.69
  4. Step 4: Simplify right side
    210,099.06x = 22,015,743,824.93
  5. Step 5: Solve for x
    x = 22,015,743,824.93/210,099.06
  6. Step 6: Final answer
    x = 104,787.44

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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.