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Finding the Fourth Proportional to 77,650, 107,174.28 and 49,350.16

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Solution

The fourth proportional to 77,650, 107,174.28 and 49,350.16 is: 68,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,650 : 107,174.28 = 49,350.16 : x
  2. Step 2: Convert to fraction form
    77,650/107,174.28 = 49,350.16/x
  3. Step 3: Cross multiply
    77,650x = 107,174.28 × 49,350.16
  4. Step 4: Simplify right side
    77,650x = 5,289,067,865.88
  5. Step 5: Solve for x
    x = 5,289,067,865.88/77,650
  6. Step 6: Final answer
    x = 68,114.20

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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.