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Finding the Fourth Proportional to 107.71, 147.57 and 103.77

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Solution

The fourth proportional to 107.71, 147.57 and 103.77 is: 142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.71 : 147.57 = 103.77 : x
  2. Step 2: Convert to fraction form
    107.71/147.57 = 103.77/x
  3. Step 3: Cross multiply
    107.71x = 147.57 × 103.77
  4. Step 4: Simplify right side
    107.71x = 15,312.95
  5. Step 5: Solve for x
    x = 15,312.95/107.71
  6. Step 6: Final answer
    x = 142.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.