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Finding the Fourth Proportional to 213,327.84, 319,884.20 and 71,122.64

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Solution

The fourth proportional to 213,327.84, 319,884.20 and 71,122.64 is: 106,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,327.84 : 319,884.20 = 71,122.64 : x
  2. Step 2: Convert to fraction form
    213,327.84/319,884.20 = 71,122.64/x
  3. Step 3: Cross multiply
    213,327.84x = 319,884.20 × 71,122.64
  4. Step 4: Simplify right side
    213,327.84x = 22,751,008,798.29
  5. Step 5: Solve for x
    x = 22,751,008,798.29/213,327.84
  6. Step 6: Final answer
    x = 106,648.10

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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.