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Finding the Fourth Proportional to 212,786.92, 319,178.46 and 81,458.92

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Solution

The fourth proportional to 212,786.92, 319,178.46 and 81,458.92 is: 122,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,786.92 : 319,178.46 = 81,458.92 : x
  2. Step 2: Convert to fraction form
    212,786.92/319,178.46 = 81,458.92/x
  3. Step 3: Cross multiply
    212,786.92x = 319,178.46 × 81,458.92
  4. Step 4: Simplify right side
    212,786.92x = 25,999,932,638.86
  5. Step 5: Solve for x
    x = 25,999,932,638.86/212,786.92
  6. Step 6: Final answer
    x = 122,187.64

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1.5x scale

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.