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Finding the Fourth Proportional to 224,617.57, 309,969.88 and 122,642.71

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Solution

The fourth proportional to 224,617.57, 309,969.88 and 122,642.71 is: 169,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,617.57 : 309,969.88 = 122,642.71 : x
  2. Step 2: Convert to fraction form
    224,617.57/309,969.88 = 122,642.71/x
  3. Step 3: Cross multiply
    224,617.57x = 309,969.88 × 122,642.71
  4. Step 4: Simplify right side
    224,617.57x = 38,015,543,938.51
  5. Step 5: Solve for x
    x = 38,015,543,938.51/224,617.57
  6. Step 6: Final answer
    x = 169,245.64

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1.5x scale

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.