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Finding the Fourth Proportional to 65,977, 91,048.26 and 36,169

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Solution

The fourth proportional to 65,977, 91,048.26 and 36,169 is: 49,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,977 : 91,048.26 = 36,169 : x
  2. Step 2: Convert to fraction form
    65,977/91,048.26 = 36,169/x
  3. Step 3: Cross multiply
    65,977x = 91,048.26 × 36,169
  4. Step 4: Simplify right side
    65,977x = 3,293,124,515.94
  5. Step 5: Solve for x
    x = 3,293,124,515.94/65,977
  6. Step 6: Final answer
    x = 49,913.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.