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Finding the Fourth Proportional to 155,212.50, 214,193.52 and 88,144.50

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Solution

The fourth proportional to 155,212.50, 214,193.52 and 88,144.50 is: 121,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,212.50 : 214,193.52 = 88,144.50 : x
  2. Step 2: Convert to fraction form
    155,212.50/214,193.52 = 88,144.50/x
  3. Step 3: Cross multiply
    155,212.50x = 214,193.52 × 88,144.50
  4. Step 4: Simplify right side
    155,212.50x = 18,879,980,723.64
  5. Step 5: Solve for x
    x = 18,879,980,723.64/155,212.50
  6. Step 6: Final answer
    x = 121,639.56

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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.