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Finding the Fourth Proportional to 216,401.34, 298,624.25 and 120,905.99

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Solution

The fourth proportional to 216,401.34, 298,624.25 and 120,905.99 is: 166,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,401.34 : 298,624.25 = 120,905.99 : x
  2. Step 2: Convert to fraction form
    216,401.34/298,624.25 = 120,905.99/x
  3. Step 3: Cross multiply
    216,401.34x = 298,624.25 × 120,905.99
  4. Step 4: Simplify right side
    216,401.34x = 36,105,459,393.40
  5. Step 5: Solve for x
    x = 36,105,459,393.40/216,401.34
  6. Step 6: Final answer
    x = 166,844.90

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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.