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Finding the Fourth Proportional to 30,094.40, 45,119.63 and 18,415.82

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Solution

The fourth proportional to 30,094.40, 45,119.63 and 18,415.82 is: 27,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,094.40 : 45,119.63 = 18,415.82 : x
  2. Step 2: Convert to fraction form
    30,094.40/45,119.63 = 18,415.82/x
  3. Step 3: Cross multiply
    30,094.40x = 45,119.63 × 18,415.82
  4. Step 4: Simplify right side
    30,094.40x = 830,915,143.39
  5. Step 5: Solve for x
    x = 830,915,143.39/30,094.40
  6. Step 6: Final answer
    x = 27,610.29

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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.