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Finding the Fourth Proportional to 123,640.88, 185,334.08 and 56,219.82

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Solution

The fourth proportional to 123,640.88, 185,334.08 and 56,219.82 is: 84,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,640.88 : 185,334.08 = 56,219.82 : x
  2. Step 2: Convert to fraction form
    123,640.88/185,334.08 = 56,219.82/x
  3. Step 3: Cross multiply
    123,640.88x = 185,334.08 × 56,219.82
  4. Step 4: Simplify right side
    123,640.88x = 10,419,448,617.47
  5. Step 5: Solve for x
    x = 10,419,448,617.47/123,640.88
  6. Step 6: Final answer
    x = 84,271.87

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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.