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Finding the Fourth Proportional to 224,617.37, 309,969.62 and 122,642.51

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Solution

The fourth proportional to 224,617.37, 309,969.62 and 122,642.51 is: 169,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,617.37 : 309,969.62 = 122,642.51 : x
  2. Step 2: Convert to fraction form
    224,617.37/309,969.62 = 122,642.51/x
  3. Step 3: Cross multiply
    224,617.37x = 309,969.62 × 122,642.51
  4. Step 4: Simplify right side
    224,617.37x = 38,015,452,220.55
  5. Step 5: Solve for x
    x = 38,015,452,220.55/224,617.37
  6. Step 6: Final answer
    x = 169,245.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.