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Finding the Fourth Proportional to 107.25, 147.81 and 87.53

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Solution

The fourth proportional to 107.25, 147.81 and 87.53 is: 120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.25 : 147.81 = 87.53 : x
  2. Step 2: Convert to fraction form
    107.25/147.81 = 87.53/x
  3. Step 3: Cross multiply
    107.25x = 147.81 × 87.53
  4. Step 4: Simplify right side
    107.25x = 12,937.81
  5. Step 5: Solve for x
    x = 12,937.81/107.25
  6. Step 6: Final answer
    x = 120.64

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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.