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Finding the Fourth Proportional to 78,127.93, 117,163.54 and 28,194.54

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Solution

The fourth proportional to 78,127.93, 117,163.54 and 28,194.54 is: 42,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,127.93 : 117,163.54 = 28,194.54 : x
  2. Step 2: Convert to fraction form
    78,127.93/117,163.54 = 28,194.54/x
  3. Step 3: Cross multiply
    78,127.93x = 117,163.54 × 28,194.54
  4. Step 4: Simplify right side
    78,127.93x = 3,303,372,115.07
  5. Step 5: Solve for x
    x = 3,303,372,115.07/78,127.93
  6. Step 6: Final answer
    x = 42,281.58

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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.