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Finding the Fourth Proportional to 129.58, 178.89 and 100.01

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Solution

The fourth proportional to 129.58, 178.89 and 100.01 is: 138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.58 : 178.89 = 100.01 : x
  2. Step 2: Convert to fraction form
    129.58/178.89 = 100.01/x
  3. Step 3: Cross multiply
    129.58x = 178.89 × 100.01
  4. Step 4: Simplify right side
    129.58x = 17,890.19
  5. Step 5: Solve for x
    x = 17,890.19/129.58
  6. Step 6: Final answer
    x = 138.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.