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Finding the Fourth Proportional to 209,813.80, 289,544.34 and 124,934.44

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Solution

The fourth proportional to 209,813.80, 289,544.34 and 124,934.44 is: 172,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,813.80 : 289,544.34 = 124,934.44 : x
  2. Step 2: Convert to fraction form
    209,813.80/289,544.34 = 124,934.44/x
  3. Step 3: Cross multiply
    209,813.80x = 289,544.34 × 124,934.44
  4. Step 4: Simplify right side
    209,813.80x = 36,174,059,973.07
  5. Step 5: Solve for x
    x = 36,174,059,973.07/209,813.80
  6. Step 6: Final answer
    x = 172,410.30

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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.