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Finding the Fourth Proportional to 155,568, 214,683.84 and 84,912

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Solution

The fourth proportional to 155,568, 214,683.84 and 84,912 is: 117,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,568 : 214,683.84 = 84,912 : x
  2. Step 2: Convert to fraction form
    155,568/214,683.84 = 84,912/x
  3. Step 3: Cross multiply
    155,568x = 214,683.84 × 84,912
  4. Step 4: Simplify right side
    155,568x = 18,229,234,222.08
  5. Step 5: Solve for x
    x = 18,229,234,222.08/155,568
  6. Step 6: Final answer
    x = 117,178.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.