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Finding the Fourth Proportional to 72.72, 100.14 and 62.35

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Solution

The fourth proportional to 72.72, 100.14 and 62.35 is: 85.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.72 : 100.14 = 62.35 : x
  2. Step 2: Convert to fraction form
    72.72/100.14 = 62.35/x
  3. Step 3: Cross multiply
    72.72x = 100.14 × 62.35
  4. Step 4: Simplify right side
    72.72x = 6,243.62
  5. Step 5: Solve for x
    x = 6,243.62/72.72
  6. Step 6: Final answer
    x = 85.86

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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.