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Finding the Fourth Proportional to 124.77, 172.11 and 116.67

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Solution

The fourth proportional to 124.77, 172.11 and 116.67 is: 160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.77 : 172.11 = 116.67 : x
  2. Step 2: Convert to fraction form
    124.77/172.11 = 116.67/x
  3. Step 3: Cross multiply
    124.77x = 172.11 × 116.67
  4. Step 4: Simplify right side
    124.77x = 20,080.07
  5. Step 5: Solve for x
    x = 20,080.07/124.77
  6. Step 6: Final answer
    x = 160.94

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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.