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Finding the Fourth Proportional to 206,089.35, 309,248.84 and 111,317.46

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Solution

The fourth proportional to 206,089.35, 309,248.84 and 111,317.46 is: 167,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,089.35 : 309,248.84 = 111,317.46 : x
  2. Step 2: Convert to fraction form
    206,089.35/309,248.84 = 111,317.46/x
  3. Step 3: Cross multiply
    206,089.35x = 309,248.84 × 111,317.46
  4. Step 4: Simplify right side
    206,089.35x = 34,424,795,376.75
  5. Step 5: Solve for x
    x = 34,424,795,376.75/206,089.35
  6. Step 6: Final answer
    x = 167,038.21

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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.