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Finding the Fourth Proportional to 192.50, 265.74 and 123.50

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Solution

The fourth proportional to 192.50, 265.74 and 123.50 is: 170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.50 : 265.74 = 123.50 : x
  2. Step 2: Convert to fraction form
    192.50/265.74 = 123.50/x
  3. Step 3: Cross multiply
    192.50x = 265.74 × 123.50
  4. Step 4: Simplify right side
    192.50x = 32,818.89
  5. Step 5: Solve for x
    x = 32,818.89/192.50
  6. Step 6: Final answer
    x = 170.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.