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Finding the Fourth Proportional to 78,015.40, 117,006.90 and 33,643.60

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Solution

The fourth proportional to 78,015.40, 117,006.90 and 33,643.60 is: 50,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.40 : 117,006.90 = 33,643.60 : x
  2. Step 2: Convert to fraction form
    78,015.40/117,006.90 = 33,643.60/x
  3. Step 3: Cross multiply
    78,015.40x = 117,006.90 × 33,643.60
  4. Step 4: Simplify right side
    78,015.40x = 3,936,533,340.84
  5. Step 5: Solve for x
    x = 3,936,533,340.84/78,015.40
  6. Step 6: Final answer
    x = 50,458.41

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1.5x scale

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.