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Finding the Fourth Proportional to 224,441.12, 309,728.08 and 123,839.20

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Solution

The fourth proportional to 224,441.12, 309,728.08 and 123,839.20 is: 170,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,441.12 : 309,728.08 = 123,839.20 : x
  2. Step 2: Convert to fraction form
    224,441.12/309,728.08 = 123,839.20/x
  3. Step 3: Cross multiply
    224,441.12x = 309,728.08 × 123,839.20
  4. Step 4: Simplify right side
    224,441.12x = 38,356,477,644.74
  5. Step 5: Solve for x
    x = 38,356,477,644.74/224,441.12
  6. Step 6: Final answer
    x = 170,897.73

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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.