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Finding the Fourth Proportional to 221,350, 305,465.16 and 120,750.16

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Solution

The fourth proportional to 221,350, 305,465.16 and 120,750.16 is: 166,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,350 : 305,465.16 = 120,750.16 : x
  2. Step 2: Convert to fraction form
    221,350/305,465.16 = 120,750.16/x
  3. Step 3: Cross multiply
    221,350x = 305,465.16 × 120,750.16
  4. Step 4: Simplify right side
    221,350x = 36,884,966,944.43
  5. Step 5: Solve for x
    x = 36,884,966,944.43/221,350
  6. Step 6: Final answer
    x = 166,636.40

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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.