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Finding the Fourth Proportional to 209,201.52, 313,703.72 and 75,987.84

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Solution

The fourth proportional to 209,201.52, 313,703.72 and 75,987.84 is: 113,945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,201.52 : 313,703.72 = 75,987.84 : x
  2. Step 2: Convert to fraction form
    209,201.52/313,703.72 = 75,987.84/x
  3. Step 3: Cross multiply
    209,201.52x = 313,703.72 × 75,987.84
  4. Step 4: Simplify right side
    209,201.52x = 23,837,668,082.76
  5. Step 5: Solve for x
    x = 23,837,668,082.76/209,201.52
  6. Step 6: Final answer
    x = 113,945.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.