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Finding the Fourth Proportional to 103,618, 155,427 and 33,497.32

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Solution

The fourth proportional to 103,618, 155,427 and 33,497.32 is: 50,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,618 : 155,427 = 33,497.32 : x
  2. Step 2: Convert to fraction form
    103,618/155,427 = 33,497.32/x
  3. Step 3: Cross multiply
    103,618x = 155,427 × 33,497.32
  4. Step 4: Simplify right side
    103,618x = 5,206,387,955.64
  5. Step 5: Solve for x
    x = 5,206,387,955.64/103,618
  6. Step 6: Final answer
    x = 50,245.98

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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.