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Finding the Fourth Proportional to 205,493.29, 308,264.84 and 72,346.30

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Solution

The fourth proportional to 205,493.29, 308,264.84 and 72,346.30 is: 108,528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,493.29 : 308,264.84 = 72,346.30 : x
  2. Step 2: Convert to fraction form
    205,493.29/308,264.84 = 72,346.30/x
  3. Step 3: Cross multiply
    205,493.29x = 308,264.84 × 72,346.30
  4. Step 4: Simplify right side
    205,493.29x = 22,301,820,594.09
  5. Step 5: Solve for x
    x = 22,301,820,594.09/205,493.29
  6. Step 6: Final answer
    x = 108,528.22

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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.