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Finding the Fourth Proportional to 127.93, 176.51 and 72.67

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Solution

The fourth proportional to 127.93, 176.51 and 72.67 is: 100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.93 : 176.51 = 72.67 : x
  2. Step 2: Convert to fraction form
    127.93/176.51 = 72.67/x
  3. Step 3: Cross multiply
    127.93x = 176.51 × 72.67
  4. Step 4: Simplify right side
    127.93x = 12,825.74
  5. Step 5: Solve for x
    x = 12,825.74/127.93
  6. Step 6: Final answer
    x = 100.26

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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.