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Finding the Fourth Proportional to 216,382.32, 298,602.12 and 120,889.68

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Solution

The fourth proportional to 216,382.32, 298,602.12 and 120,889.68 is: 166,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,382.32 : 298,602.12 = 120,889.68 : x
  2. Step 2: Convert to fraction form
    216,382.32/298,602.12 = 120,889.68/x
  3. Step 3: Cross multiply
    216,382.32x = 298,602.12 × 120,889.68
  4. Step 4: Simplify right side
    216,382.32x = 36,097,914,734.12
  5. Step 5: Solve for x
    x = 36,097,914,734.12/216,382.32
  6. Step 6: Final answer
    x = 166,824.70

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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.