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Finding the Fourth Proportional to 123,919.32, 185,774.48 and 53,745.78

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Solution

The fourth proportional to 123,919.32, 185,774.48 and 53,745.78 is: 80,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,919.32 : 185,774.48 = 53,745.78 : x
  2. Step 2: Convert to fraction form
    123,919.32/185,774.48 = 53,745.78/x
  3. Step 3: Cross multiply
    123,919.32x = 185,774.48 × 53,745.78
  4. Step 4: Simplify right side
    123,919.32x = 9,984,594,331.69
  5. Step 5: Solve for x
    x = 9,984,594,331.69/123,919.32
  6. Step 6: Final answer
    x = 80,573.35

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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.