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Finding the Fourth Proportional to 30,066, 45,099.12 and 8,178

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Solution

The fourth proportional to 30,066, 45,099.12 and 8,178 is: 12,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,066 : 45,099.12 = 8,178 : x
  2. Step 2: Convert to fraction form
    30,066/45,099.12 = 8,178/x
  3. Step 3: Cross multiply
    30,066x = 45,099.12 × 8,178
  4. Step 4: Simplify right side
    30,066x = 368,820,603.36
  5. Step 5: Solve for x
    x = 368,820,603.36/30,066
  6. Step 6: Final answer
    x = 12,267.03

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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.