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Finding the Fourth Proportional to 77,418.22, 106,811.90 and 45,145.54

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Solution

The fourth proportional to 77,418.22, 106,811.90 and 45,145.54 is: 62,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,418.22 : 106,811.90 = 45,145.54 : x
  2. Step 2: Convert to fraction form
    77,418.22/106,811.90 = 45,145.54/x
  3. Step 3: Cross multiply
    77,418.22x = 106,811.90 × 45,145.54
  4. Step 4: Simplify right side
    77,418.22x = 4,822,080,903.93
  5. Step 5: Solve for x
    x = 4,822,080,903.93/77,418.22
  6. Step 6: Final answer
    x = 62,286.12

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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.