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Finding the Fourth Proportional to 111.40, 147.73 and 111.40

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Solution

The fourth proportional to 111.40, 147.73 and 111.40 is: 147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.40 : 147.73 = 111.40 : x
  2. Step 2: Convert to fraction form
    111.40/147.73 = 111.40/x
  3. Step 3: Cross multiply
    111.40x = 147.73 × 111.40
  4. Step 4: Simplify right side
    111.40x = 16,457.12
  5. Step 5: Solve for x
    x = 16,457.12/111.40
  6. Step 6: Final answer
    x = 147.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.