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Finding the Fourth Proportional to 209,558.29, 314,334.36 and 51,786.74

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Solution

The fourth proportional to 209,558.29, 314,334.36 and 51,786.74 is: 77,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,558.29 : 314,334.36 = 51,786.74 : x
  2. Step 2: Convert to fraction form
    209,558.29/314,334.36 = 51,786.74/x
  3. Step 3: Cross multiply
    209,558.29x = 314,334.36 × 51,786.74
  4. Step 4: Simplify right side
    209,558.29x = 16,278,351,774.39
  5. Step 5: Solve for x
    x = 16,278,351,774.39/209,558.29
  6. Step 6: Final answer
    x = 77,679.35

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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.