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Finding the Fourth Proportional to 205,837.32, 308,778.68 and 65,563.68

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Solution

The fourth proportional to 205,837.32, 308,778.68 and 65,563.68 is: 98,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,837.32 : 308,778.68 = 65,563.68 : x
  2. Step 2: Convert to fraction form
    205,837.32/308,778.68 = 65,563.68/x
  3. Step 3: Cross multiply
    205,837.32x = 308,778.68 × 65,563.68
  4. Step 4: Simplify right side
    205,837.32x = 20,244,666,566.34
  5. Step 5: Solve for x
    x = 20,244,666,566.34/205,837.32
  6. Step 6: Final answer
    x = 98,352.75

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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.