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Finding the Fourth Proportional to 55,270, 76,272.60 and 30,119.50

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Solution

The fourth proportional to 55,270, 76,272.60 and 30,119.50 is: 41,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,270 : 76,272.60 = 30,119.50 : x
  2. Step 2: Convert to fraction form
    55,270/76,272.60 = 30,119.50/x
  3. Step 3: Cross multiply
    55,270x = 76,272.60 × 30,119.50
  4. Step 4: Simplify right side
    55,270x = 2,297,292,575.70
  5. Step 5: Solve for x
    x = 2,297,292,575.70/55,270
  6. Step 6: Final answer
    x = 41,564.91

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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.