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Finding the Fourth Proportional to 52,407.20, 78,538.80 and 33,629.60

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Solution

The fourth proportional to 52,407.20, 78,538.80 and 33,629.60 is: 50,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.20 : 78,538.80 = 33,629.60 : x
  2. Step 2: Convert to fraction form
    52,407.20/78,538.80 = 33,629.60/x
  3. Step 3: Cross multiply
    52,407.20x = 78,538.80 × 33,629.60
  4. Step 4: Simplify right side
    52,407.20x = 2,641,228,428.48
  5. Step 5: Solve for x
    x = 2,641,228,428.48/52,407.20
  6. Step 6: Final answer
    x = 50,398.20

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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.