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Finding the Fourth Proportional to 210,194.68, 315,198.42 and 77,039.80

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Solution

The fourth proportional to 210,194.68, 315,198.42 and 77,039.80 is: 115,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,194.68 : 315,198.42 = 77,039.80 : x
  2. Step 2: Convert to fraction form
    210,194.68/315,198.42 = 77,039.80/x
  3. Step 3: Cross multiply
    210,194.68x = 315,198.42 × 77,039.80
  4. Step 4: Simplify right side
    210,194.68x = 24,282,823,237.12
  5. Step 5: Solve for x
    x = 24,282,823,237.12/210,194.68
  6. Step 6: Final answer
    x = 115,525.39

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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.