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Finding the Fourth Proportional to 209,518.57, 289,085.19 and 123,480.97

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Solution

The fourth proportional to 209,518.57, 289,085.19 and 123,480.97 is: 170,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,518.57 : 289,085.19 = 123,480.97 : x
  2. Step 2: Convert to fraction form
    209,518.57/289,085.19 = 123,480.97/x
  3. Step 3: Cross multiply
    209,518.57x = 289,085.19 × 123,480.97
  4. Step 4: Simplify right side
    209,518.57x = 35,696,519,673.83
  5. Step 5: Solve for x
    x = 35,696,519,673.83/209,518.57
  6. Step 6: Final answer
    x = 170,374.01

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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.