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Finding the Fourth Proportional to 83,520, 125,280 and 28,116

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Solution

The fourth proportional to 83,520, 125,280 and 28,116 is: 42,174

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,520 : 125,280 = 28,116 : x
  2. Step 2: Convert to fraction form
    83,520/125,280 = 28,116/x
  3. Step 3: Cross multiply
    83,520x = 125,280 × 28,116
  4. Step 4: Simplify right side
    83,520x = 3,522,372,480
  5. Step 5: Solve for x
    x = 3,522,372,480/83,520
  6. Step 6: Final answer
    x = 42,174

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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.