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Finding the Fourth Proportional to 205,338.90, 307,979.55 and 65,111.70

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Solution

The fourth proportional to 205,338.90, 307,979.55 and 65,111.70 is: 97,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,338.90 : 307,979.55 = 65,111.70 : x
  2. Step 2: Convert to fraction form
    205,338.90/307,979.55 = 65,111.70/x
  3. Step 3: Cross multiply
    205,338.90x = 307,979.55 × 65,111.70
  4. Step 4: Simplify right side
    205,338.90x = 20,053,072,065.74
  5. Step 5: Solve for x
    x = 20,053,072,065.74/205,338.90
  6. Step 6: Final answer
    x = 97,658.42

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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.