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Finding the Fourth Proportional to 206,430.24, 309,783.36 and 75,102.24

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Solution

The fourth proportional to 206,430.24, 309,783.36 and 75,102.24 is: 112,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,430.24 : 309,783.36 = 75,102.24 : x
  2. Step 2: Convert to fraction form
    206,430.24/309,783.36 = 75,102.24/x
  3. Step 3: Cross multiply
    206,430.24x = 309,783.36 × 75,102.24
  4. Step 4: Simplify right side
    206,430.24x = 23,265,424,250.73
  5. Step 5: Solve for x
    x = 23,265,424,250.73/206,430.24
  6. Step 6: Final answer
    x = 112,703.57

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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.