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Finding the Fourth Proportional to 205,893.21, 308,864.79 and 72,746.22

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Solution

The fourth proportional to 205,893.21, 308,864.79 and 72,746.22 is: 109,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,893.21 : 308,864.79 = 72,746.22 : x
  2. Step 2: Convert to fraction form
    205,893.21/308,864.79 = 72,746.22/x
  3. Step 3: Cross multiply
    205,893.21x = 308,864.79 × 72,746.22
  4. Step 4: Simplify right side
    205,893.21x = 22,468,745,963.59
  5. Step 5: Solve for x
    x = 22,468,745,963.59/205,893.21
  6. Step 6: Final answer
    x = 109,128.15

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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.