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Finding the Fourth Proportional to 205,764.60, 309,165.30 and 130,920.60

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Solution

The fourth proportional to 205,764.60, 309,165.30 and 130,920.60 is: 196,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,764.60 : 309,165.30 = 130,920.60 : x
  2. Step 2: Convert to fraction form
    205,764.60/309,165.30 = 130,920.60/x
  3. Step 3: Cross multiply
    205,764.60x = 309,165.30 × 130,920.60
  4. Step 4: Simplify right side
    205,764.60x = 40,476,106,575.18
  5. Step 5: Solve for x
    x = 40,476,106,575.18/205,764.60
  6. Step 6: Final answer
    x = 196,710.74

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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.