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Finding the Fourth Proportional to 109.89, 151.57 and 73.04

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Solution

The fourth proportional to 109.89, 151.57 and 73.04 is: 100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.89 : 151.57 = 73.04 : x
  2. Step 2: Convert to fraction form
    109.89/151.57 = 73.04/x
  3. Step 3: Cross multiply
    109.89x = 151.57 × 73.04
  4. Step 4: Simplify right side
    109.89x = 11,070.01
  5. Step 5: Solve for x
    x = 11,070.01/109.89
  6. Step 6: Final answer
    x = 100.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.