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Finding the Fourth Proportional to 216,465.06, 298,716.82 and 120,980.64

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Solution

The fourth proportional to 216,465.06, 298,716.82 and 120,980.64 is: 166,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,465.06 : 298,716.82 = 120,980.64 : x
  2. Step 2: Convert to fraction form
    216,465.06/298,716.82 = 120,980.64/x
  3. Step 3: Cross multiply
    216,465.06x = 298,716.82 × 120,980.64
  4. Step 4: Simplify right side
    216,465.06x = 36,138,952,062.36
  5. Step 5: Solve for x
    x = 36,138,952,062.36/216,465.06
  6. Step 6: Final answer
    x = 166,950.51

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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.