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Finding the Fourth Proportional to 138,261.70, 190,804.73 and 77,834.53

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Solution

The fourth proportional to 138,261.70, 190,804.73 and 77,834.53 is: 107,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,261.70 : 190,804.73 = 77,834.53 : x
  2. Step 2: Convert to fraction form
    138,261.70/190,804.73 = 77,834.53/x
  3. Step 3: Cross multiply
    138,261.70x = 190,804.73 × 77,834.53
  4. Step 4: Simplify right side
    138,261.70x = 14,851,196,481.33
  5. Step 5: Solve for x
    x = 14,851,196,481.33/138,261.70
  6. Step 6: Final answer
    x = 107,413.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.