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Finding the Fourth Proportional to 145.77, 219.53 and 123.09

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Solution

The fourth proportional to 145.77, 219.53 and 123.09 is: 185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.77 : 219.53 = 123.09 : x
  2. Step 2: Convert to fraction form
    145.77/219.53 = 123.09/x
  3. Step 3: Cross multiply
    145.77x = 219.53 × 123.09
  4. Step 4: Simplify right side
    145.77x = 27,021.95
  5. Step 5: Solve for x
    x = 27,021.95/145.77
  6. Step 6: Final answer
    x = 185.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.