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Finding the Fourth Proportional to 204,813.60, 307,681.20 and 142,605.60

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Solution

The fourth proportional to 204,813.60, 307,681.20 and 142,605.60 is: 214,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,813.60 : 307,681.20 = 142,605.60 : x
  2. Step 2: Convert to fraction form
    204,813.60/307,681.20 = 142,605.60/x
  3. Step 3: Cross multiply
    204,813.60x = 307,681.20 × 142,605.60
  4. Step 4: Simplify right side
    204,813.60x = 43,877,062,134.72
  5. Step 5: Solve for x
    x = 43,877,062,134.72/204,813.60
  6. Step 6: Final answer
    x = 214,229.24

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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.