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Finding the Fourth Proportional to 55,171, 82,756.70 and 13,618

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Solution

The fourth proportional to 55,171, 82,756.70 and 13,618 is: 20,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,171 : 82,756.70 = 13,618 : x
  2. Step 2: Convert to fraction form
    55,171/82,756.70 = 13,618/x
  3. Step 3: Cross multiply
    55,171x = 82,756.70 × 13,618
  4. Step 4: Simplify right side
    55,171x = 1,126,980,740.60
  5. Step 5: Solve for x
    x = 1,126,980,740.60/55,171
  6. Step 6: Final answer
    x = 20,427.05

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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.