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Finding the Fourth Proportional to 123,522.52, 185,283.78 and 30,028

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Solution

The fourth proportional to 123,522.52, 185,283.78 and 30,028 is: 45,042

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,522.52 : 185,283.78 = 30,028 : x
  2. Step 2: Convert to fraction form
    123,522.52/185,283.78 = 30,028/x
  3. Step 3: Cross multiply
    123,522.52x = 185,283.78 × 30,028
  4. Step 4: Simplify right side
    123,522.52x = 5,563,701,345.84
  5. Step 5: Solve for x
    x = 5,563,701,345.84/123,522.52
  6. Step 6: Final answer
    x = 45,042

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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.