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Finding the Fourth Proportional to 216,461.57, 298,712.00 and 120,977.15

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Solution

The fourth proportional to 216,461.57, 298,712.00 and 120,977.15 is: 166,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,461.57 : 298,712.00 = 120,977.15 : x
  2. Step 2: Convert to fraction form
    216,461.57/298,712.00 = 120,977.15/x
  3. Step 3: Cross multiply
    216,461.57x = 298,712.00 × 120,977.15
  4. Step 4: Simplify right side
    216,461.57x = 36,137,325,239.68
  5. Step 5: Solve for x
    x = 36,137,325,239.68/216,461.57
  6. Step 6: Final answer
    x = 166,945.69

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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.