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Finding the Fourth Proportional to 216,000, 298,048.32 and 120,499.20

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Solution

The fourth proportional to 216,000, 298,048.32 and 120,499.20 is: 166,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,000 : 298,048.32 = 120,499.20 : x
  2. Step 2: Convert to fraction form
    216,000/298,048.32 = 120,499.20/x
  3. Step 3: Cross multiply
    216,000x = 298,048.32 × 120,499.20
  4. Step 4: Simplify right side
    216,000x = 35,914,584,121.34
  5. Step 5: Solve for x
    x = 35,914,584,121.34/216,000
  6. Step 6: Final answer
    x = 166,271.22

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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.