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Finding the Fourth Proportional to 55,269.60, 82,846.80 and 30,271.20

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Solution

The fourth proportional to 55,269.60, 82,846.80 and 30,271.20 is: 45,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,269.60 : 82,846.80 = 30,271.20 : x
  2. Step 2: Convert to fraction form
    55,269.60/82,846.80 = 30,271.20/x
  3. Step 3: Cross multiply
    55,269.60x = 82,846.80 × 30,271.20
  4. Step 4: Simplify right side
    55,269.60x = 2,507,872,052.16
  5. Step 5: Solve for x
    x = 2,507,872,052.16/55,269.60
  6. Step 6: Final answer
    x = 45,375.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.