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Finding the Fourth Proportional to 247,291.78, 370,930.71 and 78,822.21

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Solution

The fourth proportional to 247,291.78, 370,930.71 and 78,822.21 is: 118,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,291.78 : 370,930.71 = 78,822.21 : x
  2. Step 2: Convert to fraction form
    247,291.78/370,930.71 = 78,822.21/x
  3. Step 3: Cross multiply
    247,291.78x = 370,930.71 × 78,822.21
  4. Step 4: Simplify right side
    247,291.78x = 29,237,576,464.42
  5. Step 5: Solve for x
    x = 29,237,576,464.42/247,291.78
  6. Step 6: Final answer
    x = 118,231.09

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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.