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Finding the Fourth Proportional to 208,852.08, 288,084.78 and 123,909

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Solution

The fourth proportional to 208,852.08, 288,084.78 and 123,909 is: 170,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,852.08 : 288,084.78 = 123,909 : x
  2. Step 2: Convert to fraction form
    208,852.08/288,084.78 = 123,909/x
  3. Step 3: Cross multiply
    208,852.08x = 288,084.78 × 123,909
  4. Step 4: Simplify right side
    208,852.08x = 35,696,297,005.02
  5. Step 5: Solve for x
    x = 35,696,297,005.02/208,852.08
  6. Step 6: Final answer
    x = 170,916.65

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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.