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Finding the Fourth Proportional to 213,897.64, 321,161.87 and 119,312.63

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Solution

The fourth proportional to 213,897.64, 321,161.87 and 119,312.63 is: 179,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,897.64 : 321,161.87 = 119,312.63 : x
  2. Step 2: Convert to fraction form
    213,897.64/321,161.87 = 119,312.63/x
  3. Step 3: Cross multiply
    213,897.64x = 321,161.87 × 119,312.63
  4. Step 4: Simplify right side
    213,897.64x = 38,318,667,365.42
  5. Step 5: Solve for x
    x = 38,318,667,365.42/213,897.64
  6. Step 6: Final answer
    x = 179,144.88

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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.