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Finding the Fourth Proportional to 78,786, 118,112.72 and 36,644.67

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Solution

The fourth proportional to 78,786, 118,112.72 and 36,644.67 is: 54,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,786 : 118,112.72 = 36,644.67 : x
  2. Step 2: Convert to fraction form
    78,786/118,112.72 = 36,644.67/x
  3. Step 3: Cross multiply
    78,786x = 118,112.72 × 36,644.67
  4. Step 4: Simplify right side
    78,786x = 4,328,201,463.98
  5. Step 5: Solve for x
    x = 4,328,201,463.98/78,786
  6. Step 6: Final answer
    x = 54,936.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.