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Finding the Fourth Proportional to 215,030.66, 322,550.42 and 78,249.08

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Solution

The fourth proportional to 215,030.66, 322,550.42 and 78,249.08 is: 117,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,030.66 : 322,550.42 = 78,249.08 : x
  2. Step 2: Convert to fraction form
    215,030.66/322,550.42 = 78,249.08/x
  3. Step 3: Cross multiply
    215,030.66x = 322,550.42 × 78,249.08
  4. Step 4: Simplify right side
    215,030.66x = 25,239,271,614.62
  5. Step 5: Solve for x
    x = 25,239,271,614.62/215,030.66
  6. Step 6: Final answer
    x = 117,375.23

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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.