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Finding the Fourth Proportional to 224,595.75, 309,906.90 and 129,084.60

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Solution

The fourth proportional to 224,595.75, 309,906.90 and 129,084.60 is: 178,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,595.75 : 309,906.90 = 129,084.60 : x
  2. Step 2: Convert to fraction form
    224,595.75/309,906.90 = 129,084.60/x
  3. Step 3: Cross multiply
    224,595.75x = 309,906.90 × 129,084.60
  4. Step 4: Simplify right side
    224,595.75x = 40,004,208,223.74
  5. Step 5: Solve for x
    x = 40,004,208,223.74/224,595.75
  6. Step 6: Final answer
    x = 178,116.50

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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.