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Finding the Fourth Proportional to 55,286, 76,294.70 and 31,412.70

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Solution

The fourth proportional to 55,286, 76,294.70 and 31,412.70 is: 43,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286 : 76,294.70 = 31,412.70 : x
  2. Step 2: Convert to fraction form
    55,286/76,294.70 = 31,412.70/x
  3. Step 3: Cross multiply
    55,286x = 76,294.70 × 31,412.70
  4. Step 4: Simplify right side
    55,286x = 2,396,622,522.69
  5. Step 5: Solve for x
    x = 2,396,622,522.69/55,286
  6. Step 6: Final answer
    x = 43,349.54

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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.