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Finding the Fourth Proportional to 205,491.29, 308,261.84 and 72,344.30

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Solution

The fourth proportional to 205,491.29, 308,261.84 and 72,344.30 is: 108,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,491.29 : 308,261.84 = 72,344.30 : x
  2. Step 2: Convert to fraction form
    205,491.29/308,261.84 = 72,344.30/x
  3. Step 3: Cross multiply
    205,491.29x = 308,261.84 × 72,344.30
  4. Step 4: Simplify right side
    205,491.29x = 22,300,985,128.48
  5. Step 5: Solve for x
    x = 22,300,985,128.48/205,491.29
  6. Step 6: Final answer
    x = 108,525.21

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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.