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Finding the Fourth Proportional to 216,000.37, 298,080.70 and 120,507.09

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Solution

The fourth proportional to 216,000.37, 298,080.70 and 120,507.09 is: 166,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,000.37 : 298,080.70 = 120,507.09 : x
  2. Step 2: Convert to fraction form
    216,000.37/298,080.70 = 120,507.09/x
  3. Step 3: Cross multiply
    216,000.37x = 298,080.70 × 120,507.09
  4. Step 4: Simplify right side
    216,000.37x = 35,920,837,742.16
  5. Step 5: Solve for x
    x = 35,920,837,742.16/216,000.37
  6. Step 6: Final answer
    x = 166,299.89

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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.