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Finding the Fourth Proportional to 205,808.31, 308,749.19 and 72,765.81

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Solution

The fourth proportional to 205,808.31, 308,749.19 and 72,765.81 is: 109,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,808.31 : 308,749.19 = 72,765.81 : x
  2. Step 2: Convert to fraction form
    205,808.31/308,749.19 = 72,765.81/x
  3. Step 3: Cross multiply
    205,808.31x = 308,749.19 × 72,765.81
  4. Step 4: Simplify right side
    205,808.31x = 22,466,384,533.36
  5. Step 5: Solve for x
    x = 22,466,384,533.36/205,808.31
  6. Step 6: Final answer
    x = 109,161.70

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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.