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Finding the Fourth Proportional to 114,405.75, 157,786.29 and 80,526.38

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Solution

The fourth proportional to 114,405.75, 157,786.29 and 80,526.38 is: 111,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,405.75 : 157,786.29 = 80,526.38 : x
  2. Step 2: Convert to fraction form
    114,405.75/157,786.29 = 80,526.38/x
  3. Step 3: Cross multiply
    114,405.75x = 157,786.29 × 80,526.38
  4. Step 4: Simplify right side
    114,405.75x = 12,705,957,958.40
  5. Step 5: Solve for x
    x = 12,705,957,958.40/114,405.75
  6. Step 6: Final answer
    x = 111,060.48

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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.