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Finding the Fourth Proportional to 205,907.66, 308,279.10 and 130,841.72

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Solution

The fourth proportional to 205,907.66, 308,279.10 and 130,841.72 is: 195,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,907.66 : 308,279.10 = 130,841.72 : x
  2. Step 2: Convert to fraction form
    205,907.66/308,279.10 = 130,841.72/x
  3. Step 3: Cross multiply
    205,907.66x = 308,279.10 × 130,841.72
  4. Step 4: Simplify right side
    205,907.66x = 40,335,767,684.05
  5. Step 5: Solve for x
    x = 40,335,767,684.05/205,907.66
  6. Step 6: Final answer
    x = 195,892.51

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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.