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Finding the Fourth Proportional to 45,770, 68,655.42 and 18,068

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Solution

The fourth proportional to 45,770, 68,655.42 and 18,068 is: 27,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,770 : 68,655.42 = 18,068 : x
  2. Step 2: Convert to fraction form
    45,770/68,655.42 = 18,068/x
  3. Step 3: Cross multiply
    45,770x = 68,655.42 × 18,068
  4. Step 4: Simplify right side
    45,770x = 1,240,466,128.56
  5. Step 5: Solve for x
    x = 1,240,466,128.56/45,770
  6. Step 6: Final answer
    x = 27,102.17

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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.