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Finding the Fourth Proportional to 210,091.91, 315,137.68 and 76,982.58

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Solution

The fourth proportional to 210,091.91, 315,137.68 and 76,982.58 is: 115,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,091.91 : 315,137.68 = 76,982.58 : x
  2. Step 2: Convert to fraction form
    210,091.91/315,137.68 = 76,982.58/x
  3. Step 3: Cross multiply
    210,091.91x = 315,137.68 × 76,982.58
  4. Step 4: Simplify right side
    210,091.91x = 24,260,111,469.16
  5. Step 5: Solve for x
    x = 24,260,111,469.16/210,091.91
  6. Step 6: Final answer
    x = 115,473.80

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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.