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Finding the Fourth Proportional to 104,490, 156,735 and 30,618

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Solution

The fourth proportional to 104,490, 156,735 and 30,618 is: 45,927

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,490 : 156,735 = 30,618 : x
  2. Step 2: Convert to fraction form
    104,490/156,735 = 30,618/x
  3. Step 3: Cross multiply
    104,490x = 156,735 × 30,618
  4. Step 4: Simplify right side
    104,490x = 4,798,912,230
  5. Step 5: Solve for x
    x = 4,798,912,230/104,490
  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.