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Finding the Fourth Proportional to 205,320.84, 308,174.94 and 105,550.98

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Solution

The fourth proportional to 205,320.84, 308,174.94 and 105,550.98 is: 158,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,320.84 : 308,174.94 = 105,550.98 : x
  2. Step 2: Convert to fraction form
    205,320.84/308,174.94 = 105,550.98/x
  3. Step 3: Cross multiply
    205,320.84x = 308,174.94 × 105,550.98
  4. Step 4: Simplify right side
    205,320.84x = 32,528,166,928.44
  5. Step 5: Solve for x
    x = 32,528,166,928.44/205,320.84
  6. Step 6: Final answer
    x = 158,426.04

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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.