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Finding the Fourth Proportional to 205,710.60, 309,084.30 and 130,866.60

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Solution

The fourth proportional to 205,710.60, 309,084.30 and 130,866.60 is: 196,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,710.60 : 309,084.30 = 130,866.60 : x
  2. Step 2: Convert to fraction form
    205,710.60/309,084.30 = 130,866.60/x
  3. Step 3: Cross multiply
    205,710.60x = 309,084.30 × 130,866.60
  4. Step 4: Simplify right side
    205,710.60x = 40,448,811,454.38
  5. Step 5: Solve for x
    x = 40,448,811,454.38/205,710.60
  6. Step 6: Final answer
    x = 196,629.69

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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.