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Finding the Fourth Proportional to 206,258.53, 284,649.92 and 115,614.51

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Solution

The fourth proportional to 206,258.53, 284,649.92 and 115,614.51 is: 159,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,258.53 : 284,649.92 = 115,614.51 : x
  2. Step 2: Convert to fraction form
    206,258.53/284,649.92 = 115,614.51/x
  3. Step 3: Cross multiply
    206,258.53x = 284,649.92 × 115,614.51
  4. Step 4: Simplify right side
    206,258.53x = 32,909,660,444.27
  5. Step 5: Solve for x
    x = 32,909,660,444.27/206,258.53
  6. Step 6: Final answer
    x = 159,555.39

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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.