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Finding the Fourth Proportional to 43,820.70, 65,731.05 and 16,115.10

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Solution

The fourth proportional to 43,820.70, 65,731.05 and 16,115.10 is: 24,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,820.70 : 65,731.05 = 16,115.10 : x
  2. Step 2: Convert to fraction form
    43,820.70/65,731.05 = 16,115.10/x
  3. Step 3: Cross multiply
    43,820.70x = 65,731.05 × 16,115.10
  4. Step 4: Simplify right side
    43,820.70x = 1,059,262,443.86
  5. Step 5: Solve for x
    x = 1,059,262,443.86/43,820.70
  6. Step 6: Final answer
    x = 24,172.65

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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.