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Finding the Fourth Proportional to 111.83, 154.29 and 87.45

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Solution

The fourth proportional to 111.83, 154.29 and 87.45 is: 120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.83 : 154.29 = 87.45 : x
  2. Step 2: Convert to fraction form
    111.83/154.29 = 87.45/x
  3. Step 3: Cross multiply
    111.83x = 154.29 × 87.45
  4. Step 4: Simplify right side
    111.83x = 13,492.41
  5. Step 5: Solve for x
    x = 13,492.41/111.83
  6. Step 6: Final answer
    x = 120.66

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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.