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Finding the Fourth Proportional to 111,267, 166,289.63 and 81,344.24

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Solution

The fourth proportional to 111,267, 166,289.63 and 81,344.24 is: 121,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,267 : 166,289.63 = 81,344.24 : x
  2. Step 2: Convert to fraction form
    111,267/166,289.63 = 81,344.24/x
  3. Step 3: Cross multiply
    111,267x = 166,289.63 × 81,344.24
  4. Step 4: Simplify right side
    111,267x = 13,526,703,572.23
  5. Step 5: Solve for x
    x = 13,526,703,572.23/111,267
  6. Step 6: Final answer
    x = 121,569.77

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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.