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Finding the Fourth Proportional to 78,057.83, 117,002.77 and 33,705.47

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Solution

The fourth proportional to 78,057.83, 117,002.77 and 33,705.47 is: 50,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,057.83 : 117,002.77 = 33,705.47 : x
  2. Step 2: Convert to fraction form
    78,057.83/117,002.77 = 33,705.47/x
  3. Step 3: Cross multiply
    78,057.83x = 117,002.77 × 33,705.47
  4. Step 4: Simplify right side
    78,057.83x = 3,943,632,684.87
  5. Step 5: Solve for x
    x = 3,943,632,684.87/78,057.83
  6. Step 6: Final answer
    x = 50,521.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.