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Finding the Fourth Proportional to 56,000, 84,000 and 23,168

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Solution

The fourth proportional to 56,000, 84,000 and 23,168 is: 34,752

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,000 : 84,000 = 23,168 : x
  2. Step 2: Convert to fraction form
    56,000/84,000 = 23,168/x
  3. Step 3: Cross multiply
    56,000x = 84,000 × 23,168
  4. Step 4: Simplify right side
    56,000x = 1,946,112,000
  5. Step 5: Solve for x
    x = 1,946,112,000/56,000
  6. Step 6: Final answer
    x = 34,752

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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.