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Finding the Fourth Proportional to 78,413.28, 117,619.74 and 34,034.28

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Solution

The fourth proportional to 78,413.28, 117,619.74 and 34,034.28 is: 51,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.28 : 117,619.74 = 34,034.28 : x
  2. Step 2: Convert to fraction form
    78,413.28/117,619.74 = 34,034.28/x
  3. Step 3: Cross multiply
    78,413.28x = 117,619.74 × 34,034.28
  4. Step 4: Simplify right side
    78,413.28x = 4,003,103,164.69
  5. Step 5: Solve for x
    x = 4,003,103,164.69/78,413.28
  6. Step 6: Final answer
    x = 51,051.34

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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.