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Finding the Fourth Proportional to 77,282, 106,650.24 and 45,015.77

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Solution

The fourth proportional to 77,282, 106,650.24 and 45,015.77 is: 62,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,282 : 106,650.24 = 45,015.77 : x
  2. Step 2: Convert to fraction form
    77,282/106,650.24 = 45,015.77/x
  3. Step 3: Cross multiply
    77,282x = 106,650.24 × 45,015.77
  4. Step 4: Simplify right side
    77,282x = 4,800,942,674.28
  5. Step 5: Solve for x
    x = 4,800,942,674.28/77,282
  6. Step 6: Final answer
    x = 62,122.39

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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.