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Finding the Fourth Proportional to 209,712.76, 314,704.41 and 76,581.88

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Solution

The fourth proportional to 209,712.76, 314,704.41 and 76,581.88 is: 114,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,712.76 : 314,704.41 = 76,581.88 : x
  2. Step 2: Convert to fraction form
    209,712.76/314,704.41 = 76,581.88/x
  3. Step 3: Cross multiply
    209,712.76x = 314,704.41 × 76,581.88
  4. Step 4: Simplify right side
    209,712.76x = 24,100,655,362.09
  5. Step 5: Solve for x
    x = 24,100,655,362.09/209,712.76
  6. Step 6: Final answer
    x = 114,922.22

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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.