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Finding the Fourth Proportional to 205,728, 308,620.16 and 72,577.28

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Solution

The fourth proportional to 205,728, 308,620.16 and 72,577.28 is: 108,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,728 : 308,620.16 = 72,577.28 : x
  2. Step 2: Convert to fraction form
    205,728/308,620.16 = 72,577.28/x
  3. Step 3: Cross multiply
    205,728x = 308,620.16 × 72,577.28
  4. Step 4: Simplify right side
    205,728x = 22,398,811,765.96
  5. Step 5: Solve for x
    x = 22,398,811,765.96/205,728
  6. Step 6: Final answer
    x = 108,875.85

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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.