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Finding the Fourth Proportional to 209,615.67, 289,269.67 and 114,122.37

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Solution

The fourth proportional to 209,615.67, 289,269.67 and 114,122.37 is: 157,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,615.67 : 289,269.67 = 114,122.37 : x
  2. Step 2: Convert to fraction form
    209,615.67/289,269.67 = 114,122.37/x
  3. Step 3: Cross multiply
    209,615.67x = 289,269.67 × 114,122.37
  4. Step 4: Simplify right side
    209,615.67x = 33,012,139,738.91
  5. Step 5: Solve for x
    x = 33,012,139,738.91/209,615.67
  6. Step 6: Final answer
    x = 157,488.89

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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.