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Finding the Fourth Proportional to 208,969.92, 288,396.36 and 118,341.90

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Solution

The fourth proportional to 208,969.92, 288,396.36 and 118,341.90 is: 163,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,969.92 : 288,396.36 = 118,341.90 : x
  2. Step 2: Convert to fraction form
    208,969.92/288,396.36 = 118,341.90/x
  3. Step 3: Cross multiply
    208,969.92x = 288,396.36 × 118,341.90
  4. Step 4: Simplify right side
    208,969.92x = 34,129,373,195.48
  5. Step 5: Solve for x
    x = 34,129,373,195.48/208,969.92
  6. Step 6: Final answer
    x = 163,321.94

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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.