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Finding the Fourth Proportional to 111,265, 166,286.64 and 81,342.23

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Solution

The fourth proportional to 111,265, 166,286.64 and 81,342.23 is: 121,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,265 : 166,286.64 = 81,342.23 : x
  2. Step 2: Convert to fraction form
    111,265/166,286.64 = 81,342.23/x
  3. Step 3: Cross multiply
    111,265x = 166,286.64 × 81,342.23
  4. Step 4: Simplify right side
    111,265x = 13,526,126,116.81
  5. Step 5: Solve for x
    x = 13,526,126,116.81/111,265
  6. Step 6: Final answer
    x = 121,566.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.