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Finding the Fourth Proportional to 107.40, 161.14 and 56.01

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Solution

The fourth proportional to 107.40, 161.14 and 56.01 is: 84.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.40 : 161.14 = 56.01 : x
  2. Step 2: Convert to fraction form
    107.40/161.14 = 56.01/x
  3. Step 3: Cross multiply
    107.40x = 161.14 × 56.01
  4. Step 4: Simplify right side
    107.40x = 9,025.31
  5. Step 5: Solve for x
    x = 9,025.31/107.40
  6. Step 6: Final answer
    x = 84.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.