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Finding the Fourth Proportional to 77,367, 116,102.37 and 28,119

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Solution

The fourth proportional to 77,367, 116,102.37 and 28,119 is: 42,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,367 : 116,102.37 = 28,119 : x
  2. Step 2: Convert to fraction form
    77,367/116,102.37 = 28,119/x
  3. Step 3: Cross multiply
    77,367x = 116,102.37 × 28,119
  4. Step 4: Simplify right side
    77,367x = 3,264,682,542.03
  5. Step 5: Solve for x
    x = 3,264,682,542.03/77,367
  6. Step 6: Final answer
    x = 42,197.35

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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.