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Finding the Fourth Proportional to 57,412.84, 79,231.08 and 31,919.98

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Solution

The fourth proportional to 57,412.84, 79,231.08 and 31,919.98 is: 44,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412.84 : 79,231.08 = 31,919.98 : x
  2. Step 2: Convert to fraction form
    57,412.84/79,231.08 = 31,919.98/x
  3. Step 3: Cross multiply
    57,412.84x = 79,231.08 × 31,919.98
  4. Step 4: Simplify right side
    57,412.84x = 2,529,054,488.98
  5. Step 5: Solve for x
    x = 2,529,054,488.98/57,412.84
  6. Step 6: Final answer
    x = 44,050.33

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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.