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Finding the Fourth Proportional to 216,459.93, 298,715.81 and 120,968.22

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Solution

The fourth proportional to 216,459.93, 298,715.81 and 120,968.22 is: 166,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,459.93 : 298,715.81 = 120,968.22 : x
  2. Step 2: Convert to fraction form
    216,459.93/298,715.81 = 120,968.22/x
  3. Step 3: Cross multiply
    216,459.93x = 298,715.81 × 120,968.22
  4. Step 4: Simplify right side
    216,459.93x = 36,135,119,821.56
  5. Step 5: Solve for x
    x = 36,135,119,821.56/216,459.93
  6. Step 6: Final answer
    x = 166,936.76

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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.