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Finding the Fourth Proportional to 203,061.88, 280,225.74 and 111,179.80

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Solution

The fourth proportional to 203,061.88, 280,225.74 and 111,179.80 is: 153,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,061.88 : 280,225.74 = 111,179.80 : x
  2. Step 2: Convert to fraction form
    203,061.88/280,225.74 = 111,179.80/x
  3. Step 3: Cross multiply
    203,061.88x = 280,225.74 × 111,179.80
  4. Step 4: Simplify right side
    203,061.88x = 31,155,441,728.05
  5. Step 5: Solve for x
    x = 31,155,441,728.05/203,061.88
  6. Step 6: Final answer
    x = 153,428.31

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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.