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Finding the Fourth Proportional to 208,911.65, 288,304.97 and 118,265.74

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Solution

The fourth proportional to 208,911.65, 288,304.97 and 118,265.74 is: 163,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,911.65 : 288,304.97 = 118,265.74 : x
  2. Step 2: Convert to fraction form
    208,911.65/288,304.97 = 118,265.74/x
  3. Step 3: Cross multiply
    208,911.65x = 288,304.97 × 118,265.74
  4. Step 4: Simplify right side
    208,911.65x = 34,096,599,310.64
  5. Step 5: Solve for x
    x = 34,096,599,310.64/208,911.65
  6. Step 6: Final answer
    x = 163,210.62

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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.