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Finding the Fourth Proportional to 420,168, 630,252 and 124,680

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Solution

The fourth proportional to 420,168, 630,252 and 124,680 is: 187,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,168 : 630,252 = 124,680 : x
  2. Step 2: Convert to fraction form
    420,168/630,252 = 124,680/x
  3. Step 3: Cross multiply
    420,168x = 630,252 × 124,680
  4. Step 4: Simplify right side
    420,168x = 78,579,819,360
  5. Step 5: Solve for x
    x = 78,579,819,360/420,168
  6. Step 6: Final answer
    x = 187,020

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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.