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Finding the Fourth Proportional to 66,138, 91,271.16 and 36,330

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Solution

The fourth proportional to 66,138, 91,271.16 and 36,330 is: 50,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,138 : 91,271.16 = 36,330 : x
  2. Step 2: Convert to fraction form
    66,138/91,271.16 = 36,330/x
  3. Step 3: Cross multiply
    66,138x = 91,271.16 × 36,330
  4. Step 4: Simplify right side
    66,138x = 3,315,881,242.80
  5. Step 5: Solve for x
    x = 3,315,881,242.80/66,138
  6. Step 6: Final answer
    x = 50,135.80

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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.