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Finding the Fourth Proportional to 72.19, 107.75 and 62.07

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Solution

The fourth proportional to 72.19, 107.75 and 62.07 is: 92.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.19 : 107.75 = 62.07 : x
  2. Step 2: Convert to fraction form
    72.19/107.75 = 62.07/x
  3. Step 3: Cross multiply
    72.19x = 107.75 × 62.07
  4. Step 4: Simplify right side
    72.19x = 6,688.04
  5. Step 5: Solve for x
    x = 6,688.04/72.19
  6. Step 6: Final answer
    x = 92.64

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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.