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Finding the Fourth Proportional to 206,533.11, 309,775.06 and 56,788.62

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Solution

The fourth proportional to 206,533.11, 309,775.06 and 56,788.62 is: 85,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,533.11 : 309,775.06 = 56,788.62 : x
  2. Step 2: Convert to fraction form
    206,533.11/309,775.06 = 56,788.62/x
  3. Step 3: Cross multiply
    206,533.11x = 309,775.06 × 56,788.62
  4. Step 4: Simplify right side
    206,533.11x = 17,591,698,167.82
  5. Step 5: Solve for x
    x = 17,591,698,167.82/206,533.11
  6. Step 6: Final answer
    x = 85,176.16

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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.