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Finding the Fourth Proportional to 30,116, 45,174.16 and 8,228

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Solution

The fourth proportional to 30,116, 45,174.16 and 8,228 is: 12,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,116 : 45,174.16 = 8,228 : x
  2. Step 2: Convert to fraction form
    30,116/45,174.16 = 8,228/x
  3. Step 3: Cross multiply
    30,116x = 45,174.16 × 8,228
  4. Step 4: Simplify right side
    30,116x = 371,692,988.48
  5. Step 5: Solve for x
    x = 371,692,988.48/30,116
  6. Step 6: Final answer
    x = 12,342.04

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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.