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Finding the Fourth Proportional to 43,658.46, 65,489.31 and 14,076.72

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Solution

The fourth proportional to 43,658.46, 65,489.31 and 14,076.72 is: 21,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,658.46 : 65,489.31 = 14,076.72 : x
  2. Step 2: Convert to fraction form
    43,658.46/65,489.31 = 14,076.72/x
  3. Step 3: Cross multiply
    43,658.46x = 65,489.31 × 14,076.72
  4. Step 4: Simplify right side
    43,658.46x = 921,874,679.86
  5. Step 5: Solve for x
    x = 921,874,679.86/43,658.46
  6. Step 6: Final answer
    x = 21,115.60

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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.