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Finding the Fourth Proportional to 127.84, 192.55 and 116.76

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Solution

The fourth proportional to 127.84, 192.55 and 116.76 is: 175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.84 : 192.55 = 116.76 : x
  2. Step 2: Convert to fraction form
    127.84/192.55 = 116.76/x
  3. Step 3: Cross multiply
    127.84x = 192.55 × 116.76
  4. Step 4: Simplify right side
    127.84x = 22,482.14
  5. Step 5: Solve for x
    x = 22,482.14/127.84
  6. Step 6: Final answer
    x = 175.86

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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.