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Finding the Fourth Proportional to 77,315.94, 115,976.34 and 36,780.60

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Solution

The fourth proportional to 77,315.94, 115,976.34 and 36,780.60 is: 55,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,315.94 : 115,976.34 = 36,780.60 : x
  2. Step 2: Convert to fraction form
    77,315.94/115,976.34 = 36,780.60/x
  3. Step 3: Cross multiply
    77,315.94x = 115,976.34 × 36,780.60
  4. Step 4: Simplify right side
    77,315.94x = 4,265,679,371.00
  5. Step 5: Solve for x
    x = 4,265,679,371.00/77,315.94
  6. Step 6: Final answer
    x = 55,172.06

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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.