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Finding the Fourth Proportional to 66,774.16, 100,164.48 and 55,066

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Solution

The fourth proportional to 66,774.16, 100,164.48 and 55,066 is: 82,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,774.16 : 100,164.48 = 55,066 : x
  2. Step 2: Convert to fraction form
    66,774.16/100,164.48 = 55,066/x
  3. Step 3: Cross multiply
    66,774.16x = 100,164.48 × 55,066
  4. Step 4: Simplify right side
    66,774.16x = 5,515,657,255.68
  5. Step 5: Solve for x
    x = 5,515,657,255.68/66,774.16
  6. Step 6: Final answer
    x = 82,601.67

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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.