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Finding the Fourth Proportional to 209,858.58, 289,571.76 and 117,959.76

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Solution

The fourth proportional to 209,858.58, 289,571.76 and 117,959.76 is: 162,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,858.58 : 289,571.76 = 117,959.76 : x
  2. Step 2: Convert to fraction form
    209,858.58/289,571.76 = 117,959.76/x
  3. Step 3: Cross multiply
    209,858.58x = 289,571.76 × 117,959.76
  4. Step 4: Simplify right side
    209,858.58x = 34,157,815,312.38
  5. Step 5: Solve for x
    x = 34,157,815,312.38/209,858.58
  6. Step 6: Final answer
    x = 162,765.87

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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.