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Finding the Fourth Proportional to 106.56, 147.33 and 87.03

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Solution

The fourth proportional to 106.56, 147.33 and 87.03 is: 120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.56 : 147.33 = 87.03 : x
  2. Step 2: Convert to fraction form
    106.56/147.33 = 87.03/x
  3. Step 3: Cross multiply
    106.56x = 147.33 × 87.03
  4. Step 4: Simplify right side
    106.56x = 12,822.13
  5. Step 5: Solve for x
    x = 12,822.13/106.56
  6. Step 6: Final answer
    x = 120.33

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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.