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Finding the Fourth Proportional to 213,368.79, 319,982.82 and 71,174.88

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Solution

The fourth proportional to 213,368.79, 319,982.82 and 71,174.88 is: 106,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,368.79 : 319,982.82 = 71,174.88 : x
  2. Step 2: Convert to fraction form
    213,368.79/319,982.82 = 71,174.88/x
  3. Step 3: Cross multiply
    213,368.79x = 319,982.82 × 71,174.88
  4. Step 4: Simplify right side
    213,368.79x = 22,774,737,215.65
  5. Step 5: Solve for x
    x = 22,774,737,215.65/213,368.79
  6. Step 6: Final answer
    x = 106,738.84

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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.