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Finding the Fourth Proportional to 43,186, 64,779 and 12,022.06

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Solution

The fourth proportional to 43,186, 64,779 and 12,022.06 is: 18,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,186 : 64,779 = 12,022.06 : x
  2. Step 2: Convert to fraction form
    43,186/64,779 = 12,022.06/x
  3. Step 3: Cross multiply
    43,186x = 64,779 × 12,022.06
  4. Step 4: Simplify right side
    43,186x = 778,777,024.74
  5. Step 5: Solve for x
    x = 778,777,024.74/43,186
  6. Step 6: Final answer
    x = 18,033.09

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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.