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Finding the Fourth Proportional to 124.92, 172.24 and 78.28

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Solution

The fourth proportional to 124.92, 172.24 and 78.28 is: 107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.92 : 172.24 = 78.28 : x
  2. Step 2: Convert to fraction form
    124.92/172.24 = 78.28/x
  3. Step 3: Cross multiply
    124.92x = 172.24 × 78.28
  4. Step 4: Simplify right side
    124.92x = 13,482.95
  5. Step 5: Solve for x
    x = 13,482.95/124.92
  6. Step 6: Final answer
    x = 107.93

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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.