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Finding the Fourth Proportional to 209,700.54, 289,449.99 and 142,671.42

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Solution

The fourth proportional to 209,700.54, 289,449.99 and 142,671.42 is: 196,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,700.54 : 289,449.99 = 142,671.42 : x
  2. Step 2: Convert to fraction form
    209,700.54/289,449.99 = 142,671.42/x
  3. Step 3: Cross multiply
    209,700.54x = 289,449.99 × 142,671.42
  4. Step 4: Simplify right side
    209,700.54x = 41,296,241,092.29
  5. Step 5: Solve for x
    x = 41,296,241,092.29/209,700.54
  6. Step 6: Final answer
    x = 196,929.59

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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.