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Finding the Fourth Proportional to 43,825.20, 65,737.80 and 18,877.20

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Solution

The fourth proportional to 43,825.20, 65,737.80 and 18,877.20 is: 28,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,825.20 : 65,737.80 = 18,877.20 : x
  2. Step 2: Convert to fraction form
    43,825.20/65,737.80 = 18,877.20/x
  3. Step 3: Cross multiply
    43,825.20x = 65,737.80 × 18,877.20
  4. Step 4: Simplify right side
    43,825.20x = 1,240,945,598.16
  5. Step 5: Solve for x
    x = 1,240,945,598.16/43,825.20
  6. Step 6: Final answer
    x = 28,315.80

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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.