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Finding the Fourth Proportional to 123,774.78, 185,665.77 and 30,280.50

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Solution

The fourth proportional to 123,774.78, 185,665.77 and 30,280.50 is: 45,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,774.78 : 185,665.77 = 30,280.50 : x
  2. Step 2: Convert to fraction form
    123,774.78/185,665.77 = 30,280.50/x
  3. Step 3: Cross multiply
    123,774.78x = 185,665.77 × 30,280.50
  4. Step 4: Simplify right side
    123,774.78x = 5,622,052,348.49
  5. Step 5: Solve for x
    x = 5,622,052,348.49/123,774.78
  6. Step 6: Final answer
    x = 45,421.63

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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.