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Finding the Fourth Proportional to 118,170, 177,255 and 30,618

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Solution

The fourth proportional to 118,170, 177,255 and 30,618 is: 45,927

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,170 : 177,255 = 30,618 : x
  2. Step 2: Convert to fraction form
    118,170/177,255 = 30,618/x
  3. Step 3: Cross multiply
    118,170x = 177,255 × 30,618
  4. Step 4: Simplify right side
    118,170x = 5,427,193,590
  5. Step 5: Solve for x
    x = 5,427,193,590/118,170
  6. Step 6: Final answer
    x = 45,927

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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.