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Finding the Fourth Proportional to 201,119.86, 301,407.63 and 76,392.82

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Solution

The fourth proportional to 201,119.86, 301,407.63 and 76,392.82 is: 114,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,119.86 : 301,407.63 = 76,392.82 : x
  2. Step 2: Convert to fraction form
    201,119.86/301,407.63 = 76,392.82/x
  3. Step 3: Cross multiply
    201,119.86x = 301,407.63 × 76,392.82
  4. Step 4: Simplify right side
    201,119.86x = 23,025,378,825.22
  5. Step 5: Solve for x
    x = 23,025,378,825.22/201,119.86
  6. Step 6: Final answer
    x = 114,485.85

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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.