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Finding the Fourth Proportional to 205,528.94, 308,257.04 and 55,780.90

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Solution

The fourth proportional to 205,528.94, 308,257.04 and 55,780.90 is: 83,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,528.94 : 308,257.04 = 55,780.90 : x
  2. Step 2: Convert to fraction form
    205,528.94/308,257.04 = 55,780.90/x
  3. Step 3: Cross multiply
    205,528.94x = 308,257.04 × 55,780.90
  4. Step 4: Simplify right side
    205,528.94x = 17,194,856,225.29
  5. Step 5: Solve for x
    x = 17,194,856,225.29/205,528.94
  6. Step 6: Final answer
    x = 83,661.48

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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.