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Finding the Fourth Proportional to 209,773.26, 289,494.54 and 119,126.70

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Solution

The fourth proportional to 209,773.26, 289,494.54 and 119,126.70 is: 164,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,773.26 : 289,494.54 = 119,126.70 : x
  2. Step 2: Convert to fraction form
    209,773.26/289,494.54 = 119,126.70/x
  3. Step 3: Cross multiply
    209,773.26x = 289,494.54 × 119,126.70
  4. Step 4: Simplify right side
    209,773.26x = 34,486,529,218.22
  5. Step 5: Solve for x
    x = 34,486,529,218.22/209,773.26
  6. Step 6: Final answer
    x = 164,399.07

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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.