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Finding the Fourth Proportional to 74,311.63, 102,471.88 and 57,318.64

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Solution

The fourth proportional to 74,311.63, 102,471.88 and 57,318.64 is: 79,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,311.63 : 102,471.88 = 57,318.64 : x
  2. Step 2: Convert to fraction form
    74,311.63/102,471.88 = 57,318.64/x
  3. Step 3: Cross multiply
    74,311.63x = 102,471.88 × 57,318.64
  4. Step 4: Simplify right side
    74,311.63x = 5,873,548,000.89
  5. Step 5: Solve for x
    x = 5,873,548,000.89/74,311.63
  6. Step 6: Final answer
    x = 79,039.42

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Why These Related Problems?

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