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Finding the Fourth Proportional to 72.61, 109.43 and 71.98

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Solution

The fourth proportional to 72.61, 109.43 and 71.98 is: 108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.61 : 109.43 = 71.98 : x
  2. Step 2: Convert to fraction form
    72.61/109.43 = 71.98/x
  3. Step 3: Cross multiply
    72.61x = 109.43 × 71.98
  4. Step 4: Simplify right side
    72.61x = 7,876.59
  5. Step 5: Solve for x
    x = 7,876.59/72.61
  6. Step 6: Final answer
    x = 108.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.