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Finding the Fourth Proportional to 205,936.80, 308,386.80 and 135,434.40

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Solution

The fourth proportional to 205,936.80, 308,386.80 and 135,434.40 is: 202,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,936.80 : 308,386.80 = 135,434.40 : x
  2. Step 2: Convert to fraction form
    205,936.80/308,386.80 = 135,434.40/x
  3. Step 3: Cross multiply
    205,936.80x = 308,386.80 × 135,434.40
  4. Step 4: Simplify right side
    205,936.80x = 41,766,181,225.92
  5. Step 5: Solve for x
    x = 41,766,181,225.92/205,936.80
  6. Step 6: Final answer
    x = 202,810.67

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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.