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Finding the Fourth Proportional to 209,225.86, 313,736.72 and 74,244.22

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Solution

The fourth proportional to 209,225.86, 313,736.72 and 74,244.22 is: 111,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,225.86 : 313,736.72 = 74,244.22 : x
  2. Step 2: Convert to fraction form
    209,225.86/313,736.72 = 74,244.22/x
  3. Step 3: Cross multiply
    209,225.86x = 313,736.72 × 74,244.22
  4. Step 4: Simplify right side
    209,225.86x = 23,293,138,061.76
  5. Step 5: Solve for x
    x = 23,293,138,061.76/209,225.86
  6. Step 6: Final answer
    x = 111,330.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.