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Finding the Fourth Proportional to 205,978.06, 309,011.21 and 63,820.19

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Solution

The fourth proportional to 205,978.06, 309,011.21 and 63,820.19 is: 95,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,978.06 : 309,011.21 = 63,820.19 : x
  2. Step 2: Convert to fraction form
    205,978.06/309,011.21 = 63,820.19/x
  3. Step 3: Cross multiply
    205,978.06x = 309,011.21 × 63,820.19
  4. Step 4: Simplify right side
    205,978.06x = 19,721,154,134.33
  5. Step 5: Solve for x
    x = 19,721,154,134.33/205,978.06
  6. Step 6: Final answer
    x = 95,743.96

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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.