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Finding the Fourth Proportional to 107.47, 147.40 and 103.06

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Solution

The fourth proportional to 107.47, 147.40 and 103.06 is: 141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.47 : 147.40 = 103.06 : x
  2. Step 2: Convert to fraction form
    107.47/147.40 = 103.06/x
  3. Step 3: Cross multiply
    107.47x = 147.40 × 103.06
  4. Step 4: Simplify right side
    107.47x = 15,190.53
  5. Step 5: Solve for x
    x = 15,190.53/107.47
  6. Step 6: Final answer
    x = 141.35

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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.