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Finding the Fourth Proportional to 120.04, 165.70 and 87.46

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Solution

The fourth proportional to 120.04, 165.70 and 87.46 is: 120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.04 : 165.70 = 87.46 : x
  2. Step 2: Convert to fraction form
    120.04/165.70 = 87.46/x
  3. Step 3: Cross multiply
    120.04x = 165.70 × 87.46
  4. Step 4: Simplify right side
    120.04x = 14,492.12
  5. Step 5: Solve for x
    x = 14,492.12/120.04
  6. Step 6: Final answer
    x = 120.73

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Why These Related Problems?

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