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Finding the Fourth Proportional to 114.61, 171.60 and 100.03

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Solution

The fourth proportional to 114.61, 171.60 and 100.03 is: 149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.61 : 171.60 = 100.03 : x
  2. Step 2: Convert to fraction form
    114.61/171.60 = 100.03/x
  3. Step 3: Cross multiply
    114.61x = 171.60 × 100.03
  4. Step 4: Simplify right side
    114.61x = 17,165.15
  5. Step 5: Solve for x
    x = 17,165.15/114.61
  6. Step 6: Final answer
    x = 149.77

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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.