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Finding the Fourth Proportional to 66,400, 91,630.80 and 36,185.59

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Solution

The fourth proportional to 66,400, 91,630.80 and 36,185.59 is: 49,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,400 : 91,630.80 = 36,185.59 : x
  2. Step 2: Convert to fraction form
    66,400/91,630.80 = 36,185.59/x
  3. Step 3: Cross multiply
    66,400x = 91,630.80 × 36,185.59
  4. Step 4: Simplify right side
    66,400x = 3,315,714,560.17
  5. Step 5: Solve for x
    x = 3,315,714,560.17/66,400
  6. Step 6: Final answer
    x = 49,935.46

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1.5x scale

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.