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Finding the Fourth Proportional to 216,457.38, 298,706.00 and 120,982.50

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Solution

The fourth proportional to 216,457.38, 298,706.00 and 120,982.50 is: 166,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,457.38 : 298,706.00 = 120,982.50 : x
  2. Step 2: Convert to fraction form
    216,457.38/298,706.00 = 120,982.50/x
  3. Step 3: Cross multiply
    216,457.38x = 298,706.00 × 120,982.50
  4. Step 4: Simplify right side
    216,457.38x = 36,138,198,040.09
  5. Step 5: Solve for x
    x = 36,138,198,040.09/216,457.38
  6. Step 6: Final answer
    x = 166,952.95

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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.