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Finding the Fourth Proportional to 123,471.64, 185,188.15 and 39,220.72

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Solution

The fourth proportional to 123,471.64, 185,188.15 and 39,220.72 is: 58,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,471.64 : 185,188.15 = 39,220.72 : x
  2. Step 2: Convert to fraction form
    123,471.64/185,188.15 = 39,220.72/x
  3. Step 3: Cross multiply
    123,471.64x = 185,188.15 × 39,220.72
  4. Step 4: Simplify right side
    123,471.64x = 7,263,212,578.47
  5. Step 5: Solve for x
    x = 7,263,212,578.47/123,471.64
  6. Step 6: Final answer
    x = 58,824.95

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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.