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Finding the Fourth Proportional to 72.42, 100.46 and 70.62

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Solution

The fourth proportional to 72.42, 100.46 and 70.62 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.42 : 100.46 = 70.62 : x
  2. Step 2: Convert to fraction form
    72.42/100.46 = 70.62/x
  3. Step 3: Cross multiply
    72.42x = 100.46 × 70.62
  4. Step 4: Simplify right side
    72.42x = 7,094.13
  5. Step 5: Solve for x
    x = 7,094.13/72.42
  6. Step 6: Final answer
    x = 97.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.