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Finding the Fourth Proportional to 205,804.98, 308,707.20 and 135,173.52

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Solution

The fourth proportional to 205,804.98, 308,707.20 and 135,173.52 is: 202,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,804.98 : 308,707.20 = 135,173.52 : x
  2. Step 2: Convert to fraction form
    205,804.98/308,707.20 = 135,173.52/x
  3. Step 3: Cross multiply
    205,804.98x = 308,707.20 × 135,173.52
  4. Step 4: Simplify right side
    205,804.98x = 41,729,038,873.34
  5. Step 5: Solve for x
    x = 41,729,038,873.34/205,804.98
  6. Step 6: Final answer
    x = 202,760.10

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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.