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Finding the Fourth Proportional to 77,228, 106,574.64 and 41,900

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Solution

The fourth proportional to 77,228, 106,574.64 and 41,900 is: 57,822

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,228 : 106,574.64 = 41,900 : x
  2. Step 2: Convert to fraction form
    77,228/106,574.64 = 41,900/x
  3. Step 3: Cross multiply
    77,228x = 106,574.64 × 41,900
  4. Step 4: Simplify right side
    77,228x = 4,465,477,416
  5. Step 5: Solve for x
    x = 4,465,477,416/77,228
  6. Step 6: Final answer
    x = 57,822

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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.