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Finding the Fourth Proportional to 54,209.15, 74,816.49 and 31,234.50

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Solution

The fourth proportional to 54,209.15, 74,816.49 and 31,234.50 is: 43,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,209.15 : 74,816.49 = 31,234.50 : x
  2. Step 2: Convert to fraction form
    54,209.15/74,816.49 = 31,234.50/x
  3. Step 3: Cross multiply
    54,209.15x = 74,816.49 × 31,234.50
  4. Step 4: Simplify right side
    54,209.15x = 2,336,855,602.94
  5. Step 5: Solve for x
    x = 2,336,855,602.94/54,209.15
  6. Step 6: Final answer
    x = 43,108.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.