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Finding the Fourth Proportional to 216,761.34, 299,142.27 and 121,262.34

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Solution

The fourth proportional to 216,761.34, 299,142.27 and 121,262.34 is: 167,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,761.34 : 299,142.27 = 121,262.34 : x
  2. Step 2: Convert to fraction form
    216,761.34/299,142.27 = 121,262.34/x
  3. Step 3: Cross multiply
    216,761.34x = 299,142.27 × 121,262.34
  4. Step 4: Simplify right side
    216,761.34x = 36,274,691,653.11
  5. Step 5: Solve for x
    x = 36,274,691,653.11/216,761.34
  6. Step 6: Final answer
    x = 167,348.53

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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.