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Finding the Fourth Proportional to 188,400, 282,600.64 and 57,072

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Solution

The fourth proportional to 188,400, 282,600.64 and 57,072 is: 85,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,400 : 282,600.64 = 57,072 : x
  2. Step 2: Convert to fraction form
    188,400/282,600.64 = 57,072/x
  3. Step 3: Cross multiply
    188,400x = 282,600.64 × 57,072
  4. Step 4: Simplify right side
    188,400x = 16,128,583,726.08
  5. Step 5: Solve for x
    x = 16,128,583,726.08/188,400
  6. Step 6: Final answer
    x = 85,608.19

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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.