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Finding the Fourth Proportional to 209,203.74, 313,805.61 and 84,632.22

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Solution

The fourth proportional to 209,203.74, 313,805.61 and 84,632.22 is: 126,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,203.74 : 313,805.61 = 84,632.22 : x
  2. Step 2: Convert to fraction form
    209,203.74/313,805.61 = 84,632.22/x
  3. Step 3: Cross multiply
    209,203.74x = 313,805.61 × 84,632.22
  4. Step 4: Simplify right side
    209,203.74x = 26,558,065,422.75
  5. Step 5: Solve for x
    x = 26,558,065,422.75/209,203.74
  6. Step 6: Final answer
    x = 126,948.33

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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.