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Finding the Fourth Proportional to 205,843.77, 284,238.77 and 129,387.48

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Solution

The fourth proportional to 205,843.77, 284,238.77 and 129,387.48 is: 178,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,843.77 : 284,238.77 = 129,387.48 : x
  2. Step 2: Convert to fraction form
    205,843.77/284,238.77 = 129,387.48/x
  3. Step 3: Cross multiply
    205,843.77x = 284,238.77 × 129,387.48
  4. Step 4: Simplify right side
    205,843.77x = 36,776,937,521.66
  5. Step 5: Solve for x
    x = 36,776,937,521.66/205,843.77
  6. Step 6: Final answer
    x = 178,664.32

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1.5x scale

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.