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Finding the Fourth Proportional to 209,508.57, 314,324.82 and 120,825.72

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Solution

The fourth proportional to 209,508.57, 314,324.82 and 120,825.72 is: 181,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,508.57 : 314,324.82 = 120,825.72 : x
  2. Step 2: Convert to fraction form
    209,508.57/314,324.82 = 120,825.72/x
  3. Step 3: Cross multiply
    209,508.57x = 314,324.82 × 120,825.72
  4. Step 4: Simplify right side
    209,508.57x = 37,978,522,690.37
  5. Step 5: Solve for x
    x = 37,978,522,690.37/209,508.57
  6. Step 6: Final answer
    x = 181,274.32

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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.