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Finding the Fourth Proportional to 43,820.88, 65,711.52 and 20,454

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Solution

The fourth proportional to 43,820.88, 65,711.52 and 20,454 is: 30,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,820.88 : 65,711.52 = 20,454 : x
  2. Step 2: Convert to fraction form
    43,820.88/65,711.52 = 20,454/x
  3. Step 3: Cross multiply
    43,820.88x = 65,711.52 × 20,454
  4. Step 4: Simplify right side
    43,820.88x = 1,344,063,430.08
  5. Step 5: Solve for x
    x = 1,344,063,430.08/43,820.88
  6. Step 6: Final answer
    x = 30,671.76

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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.