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Finding the Fourth Proportional to 115.93, 172.76 and 112.63

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Solution

The fourth proportional to 115.93, 172.76 and 112.63 is: 167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.93 : 172.76 = 112.63 : x
  2. Step 2: Convert to fraction form
    115.93/172.76 = 112.63/x
  3. Step 3: Cross multiply
    115.93x = 172.76 × 112.63
  4. Step 4: Simplify right side
    115.93x = 19,457.40
  5. Step 5: Solve for x
    x = 19,457.40/115.93
  6. Step 6: Final answer
    x = 167.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.