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Finding the Fourth Proportional to 216,452.82, 298,699.32 and 120,960.30

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Solution

The fourth proportional to 216,452.82, 298,699.32 and 120,960.30 is: 166,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,452.82 : 298,699.32 = 120,960.30 : x
  2. Step 2: Convert to fraction form
    216,452.82/298,699.32 = 120,960.30/x
  3. Step 3: Cross multiply
    216,452.82x = 298,699.32 × 120,960.30
  4. Step 4: Simplify right side
    216,452.82x = 36,130,759,357.00
  5. Step 5: Solve for x
    x = 36,130,759,357.00/216,452.82
  6. Step 6: Final answer
    x = 166,922.10

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1.5x scale

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.