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Finding the Fourth Proportional to 209,820.30, 289,553.31 and 124,940.94

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Solution

The fourth proportional to 209,820.30, 289,553.31 and 124,940.94 is: 172,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,820.30 : 289,553.31 = 124,940.94 : x
  2. Step 2: Convert to fraction form
    209,820.30/289,553.31 = 124,940.94/x
  3. Step 3: Cross multiply
    209,820.30x = 289,553.31 × 124,940.94
  4. Step 4: Simplify right side
    209,820.30x = 36,177,062,731.51
  5. Step 5: Solve for x
    x = 36,177,062,731.51/209,820.30
  6. Step 6: Final answer
    x = 172,419.27

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1.5x scale

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.