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Finding the Fourth Proportional to 209,796.95, 314,722.87 and 76,739.87

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Solution

The fourth proportional to 209,796.95, 314,722.87 and 76,739.87 is: 115,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,796.95 : 314,722.87 = 76,739.87 : x
  2. Step 2: Convert to fraction form
    209,796.95/314,722.87 = 76,739.87/x
  3. Step 3: Cross multiply
    209,796.95x = 314,722.87 × 76,739.87
  4. Step 4: Simplify right side
    209,796.95x = 24,151,792,724.78
  5. Step 5: Solve for x
    x = 24,151,792,724.78/209,796.95
  6. Step 6: Final answer
    x = 115,119.85

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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.