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Finding the Fourth Proportional to 78,039.92, 117,059.87 and 33,068.36

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Solution

The fourth proportional to 78,039.92, 117,059.87 and 33,068.36 is: 49,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,039.92 : 117,059.87 = 33,068.36 : x
  2. Step 2: Convert to fraction form
    78,039.92/117,059.87 = 33,068.36/x
  3. Step 3: Cross multiply
    78,039.92x = 117,059.87 × 33,068.36
  4. Step 4: Simplify right side
    78,039.92x = 3,870,977,172.07
  5. Step 5: Solve for x
    x = 3,870,977,172.07/78,039.92
  6. Step 6: Final answer
    x = 49,602.53

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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.