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Finding the Fourth Proportional to 209,784.01, 289,502.32 and 119,139.97

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Solution

The fourth proportional to 209,784.01, 289,502.32 and 119,139.97 is: 164,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,784.01 : 289,502.32 = 119,139.97 : x
  2. Step 2: Convert to fraction form
    209,784.01/289,502.32 = 119,139.97/x
  3. Step 3: Cross multiply
    209,784.01x = 289,502.32 × 119,139.97
  4. Step 4: Simplify right side
    209,784.01x = 34,491,297,719.73
  5. Step 5: Solve for x
    x = 34,491,297,719.73/209,784.01
  6. Step 6: Final answer
    x = 164,413.38

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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.