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Finding the Fourth Proportional to 206,478.96, 309,509.34 and 139,925.88

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Solution

The fourth proportional to 206,478.96, 309,509.34 and 139,925.88 is: 209,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,478.96 : 309,509.34 = 139,925.88 : x
  2. Step 2: Convert to fraction form
    206,478.96/309,509.34 = 139,925.88/x
  3. Step 3: Cross multiply
    206,478.96x = 309,509.34 × 139,925.88
  4. Step 4: Simplify right side
    206,478.96x = 43,308,366,767.72
  5. Step 5: Solve for x
    x = 43,308,366,767.72/206,478.96
  6. Step 6: Final answer
    x = 209,747.12

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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.