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Finding the Fourth Proportional to 205,980.48, 309,014.80 and 63,822.60

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Solution

The fourth proportional to 205,980.48, 309,014.80 and 63,822.60 is: 95,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,980.48 : 309,014.80 = 63,822.60 : x
  2. Step 2: Convert to fraction form
    205,980.48/309,014.80 = 63,822.60/x
  3. Step 3: Cross multiply
    205,980.48x = 309,014.80 × 63,822.60
  4. Step 4: Simplify right side
    205,980.48x = 19,722,127,814.92
  5. Step 5: Solve for x
    x = 19,722,127,814.92/205,980.48
  6. Step 6: Final answer
    x = 95,747.56

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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.