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Finding the Fourth Proportional to 30,102, 45,153 and 8,214

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Solution

The fourth proportional to 30,102, 45,153 and 8,214 is: 12,321

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102 : 45,153 = 8,214 : x
  2. Step 2: Convert to fraction form
    30,102/45,153 = 8,214/x
  3. Step 3: Cross multiply
    30,102x = 45,153 × 8,214
  4. Step 4: Simplify right side
    30,102x = 370,886,742
  5. Step 5: Solve for x
    x = 370,886,742/30,102
  6. Step 6: Final answer
    x = 12,321

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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.