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Finding the Fourth Proportional to 32,415.20, 48,622.80 and 30,228.20

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Solution

The fourth proportional to 32,415.20, 48,622.80 and 30,228.20 is: 45,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.20 : 48,622.80 = 30,228.20 : x
  2. Step 2: Convert to fraction form
    32,415.20/48,622.80 = 30,228.20/x
  3. Step 3: Cross multiply
    32,415.20x = 48,622.80 × 30,228.20
  4. Step 4: Simplify right side
    32,415.20x = 1,469,779,722.96
  5. Step 5: Solve for x
    x = 1,469,779,722.96/32,415.20
  6. Step 6: Final answer
    x = 45,342.30

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