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Finding the Fourth Proportional to 55,420, 76,480.01 and 30,269.50

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Solution

The fourth proportional to 55,420, 76,480.01 and 30,269.50 is: 41,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,420 : 76,480.01 = 30,269.50 : x
  2. Step 2: Convert to fraction form
    55,420/76,480.01 = 30,269.50/x
  3. Step 3: Cross multiply
    55,420x = 76,480.01 × 30,269.50
  4. Step 4: Simplify right side
    55,420x = 2,315,011,662.70
  5. Step 5: Solve for x
    x = 2,315,011,662.70/55,420
  6. Step 6: Final answer
    x = 41,772.13

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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.