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Finding the Fourth Proportional to 66,242, 91,415.40 and 36,434

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Solution

The fourth proportional to 66,242, 91,415.40 and 36,434 is: 50,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,242 : 91,415.40 = 36,434 : x
  2. Step 2: Convert to fraction form
    66,242/91,415.40 = 36,434/x
  3. Step 3: Cross multiply
    66,242x = 91,415.40 × 36,434
  4. Step 4: Simplify right side
    66,242x = 3,330,628,683.60
  5. Step 5: Solve for x
    x = 3,330,628,683.60/66,242
  6. Step 6: Final answer
    x = 50,279.71

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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.