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Finding the Fourth Proportional to 204,205.76, 306,308.64 and 93,320

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Solution

The fourth proportional to 204,205.76, 306,308.64 and 93,320 is: 139,980

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,205.76 : 306,308.64 = 93,320 : x
  2. Step 2: Convert to fraction form
    204,205.76/306,308.64 = 93,320/x
  3. Step 3: Cross multiply
    204,205.76x = 306,308.64 × 93,320
  4. Step 4: Simplify right side
    204,205.76x = 28,584,722,284.80
  5. Step 5: Solve for x
    x = 28,584,722,284.80/204,205.76
  6. Step 6: Final answer
    x = 139,980

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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.