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Finding the Fourth Proportional to 198,041.92, 297,072.96 and 57,811.12

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Solution

The fourth proportional to 198,041.92, 297,072.96 and 57,811.12 is: 86,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,041.92 : 297,072.96 = 57,811.12 : x
  2. Step 2: Convert to fraction form
    198,041.92/297,072.96 = 57,811.12/x
  3. Step 3: Cross multiply
    198,041.92x = 297,072.96 × 57,811.12
  4. Step 4: Simplify right side
    198,041.92x = 17,174,120,539.32
  5. Step 5: Solve for x
    x = 17,174,120,539.32/198,041.92
  6. Step 6: Final answer
    x = 86,719.62

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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.