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Finding the Fourth Proportional to 209,843.88, 314,721.66 and 76,786.92

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Solution

The fourth proportional to 209,843.88, 314,721.66 and 76,786.92 is: 115,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,843.88 : 314,721.66 = 76,786.92 : x
  2. Step 2: Convert to fraction form
    209,843.88/314,721.66 = 76,786.92/x
  3. Step 3: Cross multiply
    209,843.88x = 314,721.66 × 76,786.92
  4. Step 4: Simplify right side
    209,843.88x = 24,166,506,928.69
  5. Step 5: Solve for x
    x = 24,166,506,928.69/209,843.88
  6. Step 6: Final answer
    x = 115,164.22

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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.