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Finding the Fourth Proportional to 206,124.48, 308,661.81 and 135,790.56

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Solution

The fourth proportional to 206,124.48, 308,661.81 and 135,790.56 is: 203,340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,124.48 : 308,661.81 = 135,790.56 : x
  2. Step 2: Convert to fraction form
    206,124.48/308,661.81 = 135,790.56/x
  3. Step 3: Cross multiply
    206,124.48x = 308,661.81 × 135,790.56
  4. Step 4: Simplify right side
    206,124.48x = 41,913,360,030.51
  5. Step 5: Solve for x
    x = 41,913,360,030.51/206,124.48
  6. Step 6: Final answer
    x = 203,340.04

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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.