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Finding the Fourth Proportional to 205,208.60, 283,192.63 and 128,730.91

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Solution

The fourth proportional to 205,208.60, 283,192.63 and 128,730.91 is: 177,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,208.60 : 283,192.63 = 128,730.91 : x
  2. Step 2: Convert to fraction form
    205,208.60/283,192.63 = 128,730.91/x
  3. Step 3: Cross multiply
    205,208.60x = 283,192.63 × 128,730.91
  4. Step 4: Simplify right side
    205,208.60x = 36,455,644,965.19
  5. Step 5: Solve for x
    x = 36,455,644,965.19/205,208.60
  6. Step 6: Final answer
    x = 177,651.64

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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.