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Finding the Fourth Proportional to 209,152.48, 313,748.16 and 68,912.32

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Solution

The fourth proportional to 209,152.48, 313,748.16 and 68,912.32 is: 103,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,152.48 : 313,748.16 = 68,912.32 : x
  2. Step 2: Convert to fraction form
    209,152.48/313,748.16 = 68,912.32/x
  3. Step 3: Cross multiply
    209,152.48x = 313,748.16 × 68,912.32
  4. Step 4: Simplify right side
    209,152.48x = 21,621,113,601.33
  5. Step 5: Solve for x
    x = 21,621,113,601.33/209,152.48
  6. Step 6: Final answer
    x = 103,374.89

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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.