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Finding the Fourth Proportional to 204,567.80, 306,893.61 and 86,239.35

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Solution

The fourth proportional to 204,567.80, 306,893.61 and 86,239.35 is: 129,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,567.80 : 306,893.61 = 86,239.35 : x
  2. Step 2: Convert to fraction form
    204,567.80/306,893.61 = 86,239.35/x
  3. Step 3: Cross multiply
    204,567.80x = 306,893.61 × 86,239.35
  4. Step 4: Simplify right side
    204,567.80x = 26,466,305,445.55
  5. Step 5: Solve for x
    x = 26,466,305,445.55/204,567.80
  6. Step 6: Final answer
    x = 129,376.70

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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.