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Finding the Fourth Proportional to 208,880.69, 288,174.60 and 118,215.86

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Solution

The fourth proportional to 208,880.69, 288,174.60 and 118,215.86 is: 163,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,880.69 : 288,174.60 = 118,215.86 : x
  2. Step 2: Convert to fraction form
    208,880.69/288,174.60 = 118,215.86/x
  3. Step 3: Cross multiply
    208,880.69x = 288,174.60 × 118,215.86
  4. Step 4: Simplify right side
    208,880.69x = 34,066,806,728.28
  5. Step 5: Solve for x
    x = 34,066,806,728.28/208,880.69
  6. Step 6: Final answer
    x = 163,092.18

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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.