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Finding the Fourth Proportional to 209,342.67, 314,014.91 and 67,209.54

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Solution

The fourth proportional to 209,342.67, 314,014.91 and 67,209.54 is: 100,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,342.67 : 314,014.91 = 67,209.54 : x
  2. Step 2: Convert to fraction form
    209,342.67/314,014.91 = 67,209.54/x
  3. Step 3: Cross multiply
    209,342.67x = 314,014.91 × 67,209.54
  4. Step 4: Simplify right side
    209,342.67x = 21,104,795,748.12
  5. Step 5: Solve for x
    x = 21,104,795,748.12/209,342.67
  6. Step 6: Final answer
    x = 100,814.59

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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.