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Finding the Fourth Proportional to 43,346.18, 65,021.70 and 12,179

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Solution

The fourth proportional to 43,346.18, 65,021.70 and 12,179 is: 18,269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,346.18 : 65,021.70 = 12,179 : x
  2. Step 2: Convert to fraction form
    43,346.18/65,021.70 = 12,179/x
  3. Step 3: Cross multiply
    43,346.18x = 65,021.70 × 12,179
  4. Step 4: Simplify right side
    43,346.18x = 791,899,284.30
  5. Step 5: Solve for x
    x = 791,899,284.30/43,346.18
  6. Step 6: Final answer
    x = 18,269.18

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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.