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Finding the Fourth Proportional to 206,803.02, 285,315.48 and 135,224.94

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Solution

The fourth proportional to 206,803.02, 285,315.48 and 135,224.94 is: 186,562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,803.02 : 285,315.48 = 135,224.94 : x
  2. Step 2: Convert to fraction form
    206,803.02/285,315.48 = 135,224.94/x
  3. Step 3: Cross multiply
    206,803.02x = 285,315.48 × 135,224.94
  4. Step 4: Simplify right side
    206,803.02x = 38,581,768,664.07
  5. Step 5: Solve for x
    x = 38,581,768,664.07/206,803.02
  6. Step 6: Final answer
    x = 186,562.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.