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Finding the Fourth Proportional to 124.50, 172 and 105.06

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Solution

The fourth proportional to 124.50, 172 and 105.06 is: 145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.50 : 172 = 105.06 : x
  2. Step 2: Convert to fraction form
    124.50/172 = 105.06/x
  3. Step 3: Cross multiply
    124.50x = 172 × 105.06
  4. Step 4: Simplify right side
    124.50x = 18,070.32
  5. Step 5: Solve for x
    x = 18,070.32/124.50
  6. Step 6: Final answer
    x = 145.14

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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.