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Finding the Fourth Proportional to 208,864, 288,232.64 and 119,441.92

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Solution

The fourth proportional to 208,864, 288,232.64 and 119,441.92 is: 164,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,864 : 288,232.64 = 119,441.92 : x
  2. Step 2: Convert to fraction form
    208,864/288,232.64 = 119,441.92/x
  3. Step 3: Cross multiply
    208,864x = 288,232.64 × 119,441.92
  4. Step 4: Simplify right side
    208,864x = 34,427,059,928.27
  5. Step 5: Solve for x
    x = 34,427,059,928.27/208,864
  6. Step 6: Final answer
    x = 164,830.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.