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Finding the Fourth Proportional to 30,042, 45,063.12 and 8,154

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Solution

The fourth proportional to 30,042, 45,063.12 and 8,154 is: 12,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,042 : 45,063.12 = 8,154 : x
  2. Step 2: Convert to fraction form
    30,042/45,063.12 = 8,154/x
  3. Step 3: Cross multiply
    30,042x = 45,063.12 × 8,154
  4. Step 4: Simplify right side
    30,042x = 367,444,680.48
  5. Step 5: Solve for x
    x = 367,444,680.48/30,042
  6. Step 6: Final answer
    x = 12,231.03

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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.