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Finding the Fourth Proportional to 201,745.86, 302,346.63 and 77,018.82

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Solution

The fourth proportional to 201,745.86, 302,346.63 and 77,018.82 is: 115,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,745.86 : 302,346.63 = 77,018.82 : x
  2. Step 2: Convert to fraction form
    201,745.86/302,346.63 = 77,018.82/x
  3. Step 3: Cross multiply
    201,745.86x = 302,346.63 × 77,018.82
  4. Step 4: Simplify right side
    201,745.86x = 23,286,380,673.58
  5. Step 5: Solve for x
    x = 23,286,380,673.58/201,745.86
  6. Step 6: Final answer
    x = 115,424.33

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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.