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Finding the Fourth Proportional to 42,380.80, 63,724.80 and 35,622.40

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Solution

The fourth proportional to 42,380.80, 63,724.80 and 35,622.40 is: 53,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,380.80 : 63,724.80 = 35,622.40 : x
  2. Step 2: Convert to fraction form
    42,380.80/63,724.80 = 35,622.40/x
  3. Step 3: Cross multiply
    42,380.80x = 63,724.80 × 35,622.40
  4. Step 4: Simplify right side
    42,380.80x = 2,270,030,315.52
  5. Step 5: Solve for x
    x = 2,270,030,315.52/42,380.80
  6. Step 6: Final answer
    x = 53,562.71

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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.