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Finding the Fourth Proportional to 213,123.88, 319,745.76 and 93,191.37

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Solution

The fourth proportional to 213,123.88, 319,745.76 and 93,191.37 is: 139,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,123.88 : 319,745.76 = 93,191.37 : x
  2. Step 2: Convert to fraction form
    213,123.88/319,745.76 = 93,191.37/x
  3. Step 3: Cross multiply
    213,123.88x = 319,745.76 × 93,191.37
  4. Step 4: Simplify right side
    213,123.88x = 29,797,545,426.09
  5. Step 5: Solve for x
    x = 29,797,545,426.09/213,123.88
  6. Step 6: Final answer
    x = 139,813.26

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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.