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Finding the Fourth Proportional to 205,469.84, 308,293.86 and 72,445.16

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Solution

The fourth proportional to 205,469.84, 308,293.86 and 72,445.16 is: 108,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,469.84 : 308,293.86 = 72,445.16 : x
  2. Step 2: Convert to fraction form
    205,469.84/308,293.86 = 72,445.16/x
  3. Step 3: Cross multiply
    205,469.84x = 308,293.86 × 72,445.16
  4. Step 4: Simplify right side
    205,469.84x = 22,334,398,014.72
  5. Step 5: Solve for x
    x = 22,334,398,014.72/205,469.84
  6. Step 6: Final answer
    x = 108,699.16

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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.