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Finding the Fourth Proportional to 77,316.94, 115,977.84 and 36,781.60

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Solution

The fourth proportional to 77,316.94, 115,977.84 and 36,781.60 is: 55,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,316.94 : 115,977.84 = 36,781.60 : x
  2. Step 2: Convert to fraction form
    77,316.94/115,977.84 = 36,781.60/x
  3. Step 3: Cross multiply
    77,316.94x = 115,977.84 × 36,781.60
  4. Step 4: Simplify right side
    77,316.94x = 4,265,850,519.74
  5. Step 5: Solve for x
    x = 4,265,850,519.74/77,316.94
  6. Step 6: Final answer
    x = 55,173.56

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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.