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Finding the Fourth Proportional to 286,036.72, 394,729.41 and 158,712.01

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Solution

The fourth proportional to 286,036.72, 394,729.41 and 158,712.01 is: 219,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,036.72 : 394,729.41 = 158,712.01 : x
  2. Step 2: Convert to fraction form
    286,036.72/394,729.41 = 158,712.01/x
  3. Step 3: Cross multiply
    286,036.72x = 394,729.41 × 158,712.01
  4. Step 4: Simplify right side
    286,036.72x = 62,648,298,067.21
  5. Step 5: Solve for x
    x = 62,648,298,067.21/286,036.72
  6. Step 6: Final answer
    x = 219,021.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.