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Finding the Fourth Proportional to 45,405.20, 68,107.80 and 42,813.20

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Solution

The fourth proportional to 45,405.20, 68,107.80 and 42,813.20 is: 64,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,405.20 : 68,107.80 = 42,813.20 : x
  2. Step 2: Convert to fraction form
    45,405.20/68,107.80 = 42,813.20/x
  3. Step 3: Cross multiply
    45,405.20x = 68,107.80 × 42,813.20
  4. Step 4: Simplify right side
    45,405.20x = 2,915,912,862.96
  5. Step 5: Solve for x
    x = 2,915,912,862.96/45,405.20
  6. Step 6: Final answer
    x = 64,219.80

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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.