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Finding the Fourth Proportional to 77,012, 106,276.88 and 41,684

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Solution

The fourth proportional to 77,012, 106,276.88 and 41,684 is: 57,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,012 : 106,276.88 = 41,684 : x
  2. Step 2: Convert to fraction form
    77,012/106,276.88 = 41,684/x
  3. Step 3: Cross multiply
    77,012x = 106,276.88 × 41,684
  4. Step 4: Simplify right side
    77,012x = 4,430,045,465.92
  5. Step 5: Solve for x
    x = 4,430,045,465.92/77,012
  6. Step 6: Final answer
    x = 57,524.09

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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.