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Finding the Fourth Proportional to 77,678, 116,266.38 and 40,186.44

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Solution

The fourth proportional to 77,678, 116,266.38 and 40,186.44 is: 60,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,678 : 116,266.38 = 40,186.44 : x
  2. Step 2: Convert to fraction form
    77,678/116,266.38 = 40,186.44/x
  3. Step 3: Cross multiply
    77,678x = 116,266.38 × 40,186.44
  4. Step 4: Simplify right side
    77,678x = 4,672,331,903.89
  5. Step 5: Solve for x
    x = 4,672,331,903.89/77,678
  6. Step 6: Final answer
    x = 60,150.00

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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.