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Finding the Fourth Proportional to 76,759.70, 115,247.16 and 39,346.61

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Solution

The fourth proportional to 76,759.70, 115,247.16 and 39,346.61 is: 59,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,759.70 : 115,247.16 = 39,346.61 : x
  2. Step 2: Convert to fraction form
    76,759.70/115,247.16 = 39,346.61/x
  3. Step 3: Cross multiply
    76,759.70x = 115,247.16 × 39,346.61
  4. Step 4: Simplify right side
    76,759.70x = 4,534,584,481.89
  5. Step 5: Solve for x
    x = 4,534,584,481.89/76,759.70
  6. Step 6: Final answer
    x = 59,075.07

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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.