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Finding the Fourth Proportional to 205,729.60, 308,725.44 and 137,495.20

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Solution

The fourth proportional to 205,729.60, 308,725.44 and 137,495.20 is: 206,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,729.60 : 308,725.44 = 137,495.20 : x
  2. Step 2: Convert to fraction form
    205,729.60/308,725.44 = 137,495.20/x
  3. Step 3: Cross multiply
    205,729.60x = 308,725.44 × 137,495.20
  4. Step 4: Simplify right side
    205,729.60x = 42,448,266,117.89
  5. Step 5: Solve for x
    x = 42,448,266,117.89/205,729.60
  6. Step 6: Final answer
    x = 206,330.38

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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.