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Finding the Fourth Proportional to 99.50, 137.23 and 73.37

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Solution

The fourth proportional to 99.50, 137.23 and 73.37 is: 101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.50 : 137.23 = 73.37 : x
  2. Step 2: Convert to fraction form
    99.50/137.23 = 73.37/x
  3. Step 3: Cross multiply
    99.50x = 137.23 × 73.37
  4. Step 4: Simplify right side
    99.50x = 10,068.57
  5. Step 5: Solve for x
    x = 10,068.57/99.50
  6. Step 6: Final answer
    x = 101.19

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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.