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Finding the Fourth Proportional to 30,044, 45,066.12 and 8,156

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Solution

The fourth proportional to 30,044, 45,066.12 and 8,156 is: 12,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,044 : 45,066.12 = 8,156 : x
  2. Step 2: Convert to fraction form
    30,044/45,066.12 = 8,156/x
  3. Step 3: Cross multiply
    30,044x = 45,066.12 × 8,156
  4. Step 4: Simplify right side
    30,044x = 367,559,274.72
  5. Step 5: Solve for x
    x = 367,559,274.72/30,044
  6. Step 6: Final answer
    x = 12,234.03

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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.