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Finding the Fourth Proportional to 213,058.80, 319,505.13 and 79,866.38

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Solution

The fourth proportional to 213,058.80, 319,505.13 and 79,866.38 is: 119,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,058.80 : 319,505.13 = 79,866.38 : x
  2. Step 2: Convert to fraction form
    213,058.80/319,505.13 = 79,866.38/x
  3. Step 3: Cross multiply
    213,058.80x = 319,505.13 × 79,866.38
  4. Step 4: Simplify right side
    213,058.80x = 25,517,716,527.00
  5. Step 5: Solve for x
    x = 25,517,716,527.00/213,058.80
  6. Step 6: Final answer
    x = 119,768.42

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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.