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Finding the Fourth Proportional to 205,485.81, 308,227.95 and 55,725.72

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Solution

The fourth proportional to 205,485.81, 308,227.95 and 55,725.72 is: 83,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,485.81 : 308,227.95 = 55,725.72 : x
  2. Step 2: Convert to fraction form
    205,485.81/308,227.95 = 55,725.72/x
  3. Step 3: Cross multiply
    205,485.81x = 308,227.95 × 55,725.72
  4. Step 4: Simplify right side
    205,485.81x = 17,176,224,437.87
  5. Step 5: Solve for x
    x = 17,176,224,437.87/205,485.81
  6. Step 6: Final answer
    x = 83,588.37

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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.