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Finding the Fourth Proportional to 209,914.80, 314,670.60 and 69,601.20

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Solution

The fourth proportional to 209,914.80, 314,670.60 and 69,601.20 is: 104,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,914.80 : 314,670.60 = 69,601.20 : x
  2. Step 2: Convert to fraction form
    209,914.80/314,670.60 = 69,601.20/x
  3. Step 3: Cross multiply
    209,914.80x = 314,670.60 × 69,601.20
  4. Step 4: Simplify right side
    209,914.80x = 21,901,451,364.72
  5. Step 5: Solve for x
    x = 21,901,451,364.72/209,914.80
  6. Step 6: Final answer
    x = 104,334.96

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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.