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Finding the Fourth Proportional to 216,476.33, 298,740.71 and 120,989.21

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Solution

The fourth proportional to 216,476.33, 298,740.71 and 120,989.21 is: 166,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,476.33 : 298,740.71 = 120,989.21 : x
  2. Step 2: Convert to fraction form
    216,476.33/298,740.71 = 120,989.21/x
  3. Step 3: Cross multiply
    216,476.33x = 298,740.71 × 120,989.21
  4. Step 4: Simplify right side
    216,476.33x = 36,144,401,306.51
  5. Step 5: Solve for x
    x = 36,144,401,306.51/216,476.33
  6. Step 6: Final answer
    x = 166,966.99

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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.