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Finding the Fourth Proportional to 30,206, 45,164.82 and 27,559.20

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Solution

The fourth proportional to 30,206, 45,164.82 and 27,559.20 is: 41,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206 : 45,164.82 = 27,559.20 : x
  2. Step 2: Convert to fraction form
    30,206/45,164.82 = 27,559.20/x
  3. Step 3: Cross multiply
    30,206x = 45,164.82 × 27,559.20
  4. Step 4: Simplify right side
    30,206x = 1,244,706,307.34
  5. Step 5: Solve for x
    x = 1,244,706,307.34/30,206
  6. Step 6: Final answer
    x = 41,207.25

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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.