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Finding the Fourth Proportional to 30,293, 45,440.11 and 8,106.34

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Solution

The fourth proportional to 30,293, 45,440.11 and 8,106.34 is: 12,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,293 : 45,440.11 = 8,106.34 : x
  2. Step 2: Convert to fraction form
    30,293/45,440.11 = 8,106.34/x
  3. Step 3: Cross multiply
    30,293x = 45,440.11 × 8,106.34
  4. Step 4: Simplify right side
    30,293x = 368,352,981.30
  5. Step 5: Solve for x
    x = 368,352,981.30/30,293
  6. Step 6: Final answer
    x = 12,159.67

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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.