Home / 120.10-181.24-116.08

Finding the Fourth Proportional to 120.10, 181.24 and 116.08

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Solution

The fourth proportional to 120.10, 181.24 and 116.08 is: 175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.10 : 181.24 = 116.08 : x
  2. Step 2: Convert to fraction form
    120.10/181.24 = 116.08/x
  3. Step 3: Cross multiply
    120.10x = 181.24 × 116.08
  4. Step 4: Simplify right side
    120.10x = 21,038.34
  5. Step 5: Solve for x
    x = 21,038.34/120.10
  6. Step 6: Final answer
    x = 175.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.