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Finding the Fourth Proportional to 205,746.12, 308,597.10 and 65,493.78

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Solution

The fourth proportional to 205,746.12, 308,597.10 and 65,493.78 is: 98,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,746.12 : 308,597.10 = 65,493.78 : x
  2. Step 2: Convert to fraction form
    205,746.12/308,597.10 = 65,493.78/x
  3. Step 3: Cross multiply
    205,746.12x = 308,597.10 × 65,493.78
  4. Step 4: Simplify right side
    205,746.12x = 20,211,190,576.04
  5. Step 5: Solve for x
    x = 20,211,190,576.04/205,746.12
  6. Step 6: Final answer
    x = 98,233.64

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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.