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Finding the Fourth Proportional to 224,523, 309,842.15 and 123,921

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Solution

The fourth proportional to 224,523, 309,842.15 and 123,921 is: 171,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,523 : 309,842.15 = 123,921 : x
  2. Step 2: Convert to fraction form
    224,523/309,842.15 = 123,921/x
  3. Step 3: Cross multiply
    224,523x = 309,842.15 × 123,921
  4. Step 4: Simplify right side
    224,523x = 38,395,948,450.55
  5. Step 5: Solve for x
    x = 38,395,948,450.55/224,523
  6. Step 6: Final answer
    x = 171,011.20

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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.