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Finding the Fourth Proportional to 200,205.20, 299,530.20 and 130,221.20

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Solution

The fourth proportional to 200,205.20, 299,530.20 and 130,221.20 is: 194,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,205.20 : 299,530.20 = 130,221.20 : x
  2. Step 2: Convert to fraction form
    200,205.20/299,530.20 = 130,221.20/x
  3. Step 3: Cross multiply
    200,205.20x = 299,530.20 × 130,221.20
  4. Step 4: Simplify right side
    200,205.20x = 39,005,182,080.24
  5. Step 5: Solve for x
    x = 39,005,182,080.24/200,205.20
  6. Step 6: Final answer
    x = 194,826.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.