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Finding the Fourth Proportional to 212,672.25, 319,009.59 and 54,889.92

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Solution

The fourth proportional to 212,672.25, 319,009.59 and 54,889.92 is: 82,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,672.25 : 319,009.59 = 54,889.92 : x
  2. Step 2: Convert to fraction form
    212,672.25/319,009.59 = 54,889.92/x
  3. Step 3: Cross multiply
    212,672.25x = 319,009.59 × 54,889.92
  4. Step 4: Simplify right side
    212,672.25x = 17,510,410,874.33
  5. Step 5: Solve for x
    x = 17,510,410,874.33/212,672.25
  6. Step 6: Final answer
    x = 82,335.19

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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.