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Finding the Fourth Proportional to 280,112, 420,168 and 83,120

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Solution

The fourth proportional to 280,112, 420,168 and 83,120 is: 124,680

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,112 : 420,168 = 83,120 : x
  2. Step 2: Convert to fraction form
    280,112/420,168 = 83,120/x
  3. Step 3: Cross multiply
    280,112x = 420,168 × 83,120
  4. Step 4: Simplify right side
    280,112x = 34,924,364,160
  5. Step 5: Solve for x
    x = 34,924,364,160/280,112
  6. Step 6: Final answer
    x = 124,680

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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.