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Finding the Fourth Proportional to 77,015, 106,281.02 and 41,687

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Solution

The fourth proportional to 77,015, 106,281.02 and 41,687 is: 57,528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,015 : 106,281.02 = 41,687 : x
  2. Step 2: Convert to fraction form
    77,015/106,281.02 = 41,687/x
  3. Step 3: Cross multiply
    77,015x = 106,281.02 × 41,687
  4. Step 4: Simplify right side
    77,015x = 4,430,536,880.74
  5. Step 5: Solve for x
    x = 4,430,536,880.74/77,015
  6. Step 6: Final answer
    x = 57,528.23

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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.