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Finding the Fourth Proportional to 77,676, 116,263.38 and 40,184.44

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Solution

The fourth proportional to 77,676, 116,263.38 and 40,184.44 is: 60,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,676 : 116,263.38 = 40,184.44 : x
  2. Step 2: Convert to fraction form
    77,676/116,263.38 = 40,184.44/x
  3. Step 3: Cross multiply
    77,676x = 116,263.38 × 40,184.44
  4. Step 4: Simplify right side
    77,676x = 4,671,978,817.81
  5. Step 5: Solve for x
    x = 4,671,978,817.81/77,676
  6. Step 6: Final answer
    x = 60,147.01

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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.