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Finding the Fourth Proportional to 213,289.90, 319,993.31 and 93,325.11

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Solution

The fourth proportional to 213,289.90, 319,993.31 and 93,325.11 is: 140,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,289.90 : 319,993.31 = 93,325.11 : x
  2. Step 2: Convert to fraction form
    213,289.90/319,993.31 = 93,325.11/x
  3. Step 3: Cross multiply
    213,289.90x = 319,993.31 × 93,325.11
  4. Step 4: Simplify right side
    213,289.90x = 29,863,410,855.01
  5. Step 5: Solve for x
    x = 29,863,410,855.01/213,289.90
  6. Step 6: Final answer
    x = 140,013.24

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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.