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Finding the Fourth Proportional to 209,074.72, 314,234.16 and 98,344.48

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Solution

The fourth proportional to 209,074.72, 314,234.16 and 98,344.48 is: 147,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,074.72 : 314,234.16 = 98,344.48 : x
  2. Step 2: Convert to fraction form
    209,074.72/314,234.16 = 98,344.48/x
  3. Step 3: Cross multiply
    209,074.72x = 314,234.16 × 98,344.48
  4. Step 4: Simplify right side
    209,074.72x = 30,903,195,063.44
  5. Step 5: Solve for x
    x = 30,903,195,063.44/209,074.72
  6. Step 6: Final answer
    x = 147,809.33

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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.