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Finding the Fourth Proportional to 76,828.71, 115,216.41 and 26,907.70

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Solution

The fourth proportional to 76,828.71, 115,216.41 and 26,907.70 is: 40,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,828.71 : 115,216.41 = 26,907.70 : x
  2. Step 2: Convert to fraction form
    76,828.71/115,216.41 = 26,907.70/x
  3. Step 3: Cross multiply
    76,828.71x = 115,216.41 × 26,907.70
  4. Step 4: Simplify right side
    76,828.71x = 3,100,208,595.36
  5. Step 5: Solve for x
    x = 3,100,208,595.36/76,828.71
  6. Step 6: Final answer
    x = 40,352.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.