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Finding the Fourth Proportional to 206,622.72, 309,932.64 and 58,878.72

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Solution

The fourth proportional to 206,622.72, 309,932.64 and 58,878.72 is: 88,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,622.72 : 309,932.64 = 58,878.72 : x
  2. Step 2: Convert to fraction form
    206,622.72/309,932.64 = 58,878.72/x
  3. Step 3: Cross multiply
    206,622.72x = 309,932.64 × 58,878.72
  4. Step 4: Simplify right side
    206,622.72x = 18,248,437,129.42
  5. Step 5: Solve for x
    x = 18,248,437,129.42/206,622.72
  6. Step 6: Final answer
    x = 88,317.67

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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.