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Finding the Fourth Proportional to 224,617.60, 309,969.92 and 122,642.74

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Solution

The fourth proportional to 224,617.60, 309,969.92 and 122,642.74 is: 169,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,617.60 : 309,969.92 = 122,642.74 : x
  2. Step 2: Convert to fraction form
    224,617.60/309,969.92 = 122,642.74/x
  3. Step 3: Cross multiply
    224,617.60x = 309,969.92 × 122,642.74
  4. Step 4: Simplify right side
    224,617.60x = 38,015,558,756.53
  5. Step 5: Solve for x
    x = 38,015,558,756.53/224,617.60
  6. Step 6: Final answer
    x = 169,245.68

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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.