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Finding the Fourth Proportional to 206,365.47, 284,657.94 and 136,513.91

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Solution

The fourth proportional to 206,365.47, 284,657.94 and 136,513.91 is: 188,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,365.47 : 284,657.94 = 136,513.91 : x
  2. Step 2: Convert to fraction form
    206,365.47/284,657.94 = 136,513.91/x
  3. Step 3: Cross multiply
    206,365.47x = 284,657.94 × 136,513.91
  4. Step 4: Simplify right side
    206,365.47x = 38,859,766,978.66
  5. Step 5: Solve for x
    x = 38,859,766,978.66/206,365.47
  6. Step 6: Final answer
    x = 188,305.57

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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.