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Finding the Fourth Proportional to 209,761.72, 289,449.45 and 117,866.41

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Solution

The fourth proportional to 209,761.72, 289,449.45 and 117,866.41 is: 162,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,761.72 : 289,449.45 = 117,866.41 : x
  2. Step 2: Convert to fraction form
    209,761.72/289,449.45 = 117,866.41/x
  3. Step 3: Cross multiply
    209,761.72x = 289,449.45 × 117,866.41
  4. Step 4: Simplify right side
    209,761.72x = 34,116,366,824.35
  5. Step 5: Solve for x
    x = 34,116,366,824.35/209,761.72
  6. Step 6: Final answer
    x = 162,643.44

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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.