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Finding the Fourth Proportional to 209,842.83, 289,569.06 and 123,797.34

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Solution

The fourth proportional to 209,842.83, 289,569.06 and 123,797.34 is: 170,832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,842.83 : 289,569.06 = 123,797.34 : x
  2. Step 2: Convert to fraction form
    209,842.83/289,569.06 = 123,797.34/x
  3. Step 3: Cross multiply
    209,842.83x = 289,569.06 × 123,797.34
  4. Step 4: Simplify right side
    209,842.83x = 35,847,879,374.30
  5. Step 5: Solve for x
    x = 35,847,879,374.30/209,842.83
  6. Step 6: Final answer
    x = 170,832.04

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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.