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Finding the Fourth Proportional to 216,463.32, 298,713.78 and 120,970.80

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Solution

The fourth proportional to 216,463.32, 298,713.78 and 120,970.80 is: 166,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,463.32 : 298,713.78 = 120,970.80 : x
  2. Step 2: Convert to fraction form
    216,463.32/298,713.78 = 120,970.80/x
  3. Step 3: Cross multiply
    216,463.32x = 298,713.78 × 120,970.80
  4. Step 4: Simplify right side
    216,463.32x = 36,135,644,937.62
  5. Step 5: Solve for x
    x = 36,135,644,937.62/216,463.32
  6. Step 6: Final answer
    x = 166,936.57

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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.