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Finding the Fourth Proportional to 215,999.28, 298,079.87 and 120,510

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Solution

The fourth proportional to 215,999.28, 298,079.87 and 120,510 is: 166,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,999.28 : 298,079.87 = 120,510 : x
  2. Step 2: Convert to fraction form
    215,999.28/298,079.87 = 120,510/x
  3. Step 3: Cross multiply
    215,999.28x = 298,079.87 × 120,510
  4. Step 4: Simplify right side
    215,999.28x = 35,921,604,531.15
  5. Step 5: Solve for x
    x = 35,921,604,531.15/215,999.28
  6. Step 6: Final answer
    x = 166,304.28

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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.