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Finding the Fourth Proportional to 127.99, 192.07 and 99.16

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Solution

The fourth proportional to 127.99, 192.07 and 99.16 is: 148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.99 : 192.07 = 99.16 : x
  2. Step 2: Convert to fraction form
    127.99/192.07 = 99.16/x
  3. Step 3: Cross multiply
    127.99x = 192.07 × 99.16
  4. Step 4: Simplify right side
    127.99x = 19,045.89
  5. Step 5: Solve for x
    x = 19,045.89/127.99
  6. Step 6: Final answer
    x = 148.81

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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.