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Finding the Fourth Proportional to 200,920.02, 301,380 and 156,579.96

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Solution

The fourth proportional to 200,920.02, 301,380 and 156,579.96 is: 234,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,920.02 : 301,380 = 156,579.96 : x
  2. Step 2: Convert to fraction form
    200,920.02/301,380 = 156,579.96/x
  3. Step 3: Cross multiply
    200,920.02x = 301,380 × 156,579.96
  4. Step 4: Simplify right side
    200,920.02x = 47,190,068,344.80
  5. Step 5: Solve for x
    x = 47,190,068,344.80/200,920.02
  6. Step 6: Final answer
    x = 234,869.92

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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.