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Finding the Fourth Proportional to 205,034.80, 307,494.60 and 64,836.40

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Solution

The fourth proportional to 205,034.80, 307,494.60 and 64,836.40 is: 97,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,034.80 : 307,494.60 = 64,836.40 : x
  2. Step 2: Convert to fraction form
    205,034.80/307,494.60 = 64,836.40/x
  3. Step 3: Cross multiply
    205,034.80x = 307,494.60 × 64,836.40
  4. Step 4: Simplify right side
    205,034.80x = 19,936,842,883.44
  5. Step 5: Solve for x
    x = 19,936,842,883.44/205,034.80
  6. Step 6: Final answer
    x = 97,236.39

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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.