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Finding the Fourth Proportional to 209,912.10, 314,917.35 and 69,670.72

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Solution

The fourth proportional to 209,912.10, 314,917.35 and 69,670.72 is: 104,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,912.10 : 314,917.35 = 69,670.72 : x
  2. Step 2: Convert to fraction form
    209,912.10/314,917.35 = 69,670.72/x
  3. Step 3: Cross multiply
    209,912.10x = 314,917.35 × 69,670.72
  4. Step 4: Simplify right side
    209,912.10x = 21,940,518,514.99
  5. Step 5: Solve for x
    x = 21,940,518,514.99/209,912.10
  6. Step 6: Final answer
    x = 104,522.41

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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.