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Finding the Fourth Proportional to 205,178.64, 307,905.42 and 72,059.40

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Solution

The fourth proportional to 205,178.64, 307,905.42 and 72,059.40 is: 108,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,178.64 : 307,905.42 = 72,059.40 : x
  2. Step 2: Convert to fraction form
    205,178.64/307,905.42 = 72,059.40/x
  3. Step 3: Cross multiply
    205,178.64x = 307,905.42 × 72,059.40
  4. Step 4: Simplify right side
    205,178.64x = 22,187,479,821.95
  5. Step 5: Solve for x
    x = 22,187,479,821.95/205,178.64
  6. Step 6: Final answer
    x = 108,137.38

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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.