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Finding the Fourth Proportional to 55,421, 76,481.39 and 30,270.50

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Solution

The fourth proportional to 55,421, 76,481.39 and 30,270.50 is: 41,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,421 : 76,481.39 = 30,270.50 : x
  2. Step 2: Convert to fraction form
    55,421/76,481.39 = 30,270.50/x
  3. Step 3: Cross multiply
    55,421x = 76,481.39 × 30,270.50
  4. Step 4: Simplify right side
    55,421x = 2,315,129,916.00
  5. Step 5: Solve for x
    x = 2,315,129,916.00/55,421
  6. Step 6: Final answer
    x = 41,773.51

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1.5x scale

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.