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Finding the Fourth Proportional to 76,898.94, 106,107.81 and 51,364.35

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Solution

The fourth proportional to 76,898.94, 106,107.81 and 51,364.35 is: 70,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,898.94 : 106,107.81 = 51,364.35 : x
  2. Step 2: Convert to fraction form
    76,898.94/106,107.81 = 51,364.35/x
  3. Step 3: Cross multiply
    76,898.94x = 106,107.81 × 51,364.35
  4. Step 4: Simplify right side
    76,898.94x = 5,450,158,690.57
  5. Step 5: Solve for x
    x = 5,450,158,690.57/76,898.94
  6. Step 6: Final answer
    x = 70,874.30

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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.