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Finding the Fourth Proportional to 114,433.70, 158,047.81 and 78,072.73

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Solution

The fourth proportional to 114,433.70, 158,047.81 and 78,072.73 is: 107,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,433.70 : 158,047.81 = 78,072.73 : x
  2. Step 2: Convert to fraction form
    114,433.70/158,047.81 = 78,072.73/x
  3. Step 3: Cross multiply
    114,433.70x = 158,047.81 × 78,072.73
  4. Step 4: Simplify right side
    114,433.70x = 12,339,223,406.92
  5. Step 5: Solve for x
    x = 12,339,223,406.92/114,433.70
  6. Step 6: Final answer
    x = 107,828.58

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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.