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Finding the Fourth Proportional to 210,477.75, 315,519.80 and 77,322.26

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Solution

The fourth proportional to 210,477.75, 315,519.80 and 77,322.26 is: 115,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,477.75 : 315,519.80 = 77,322.26 : x
  2. Step 2: Convert to fraction form
    210,477.75/315,519.80 = 77,322.26/x
  3. Step 3: Cross multiply
    210,477.75x = 315,519.80 × 77,322.26
  4. Step 4: Simplify right side
    210,477.75x = 24,396,702,046.54
  5. Step 5: Solve for x
    x = 24,396,702,046.54/210,477.75
  6. Step 6: Final answer
    x = 115,911.07

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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.