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Finding the Fourth Proportional to 175,415.80, 262,821.30 and 81,729.40

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Solution

The fourth proportional to 175,415.80, 262,821.30 and 81,729.40 is: 122,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,415.80 : 262,821.30 = 81,729.40 : x
  2. Step 2: Convert to fraction form
    175,415.80/262,821.30 = 81,729.40/x
  3. Step 3: Cross multiply
    175,415.80x = 262,821.30 × 81,729.40
  4. Step 4: Simplify right side
    175,415.80x = 21,480,227,156.22
  5. Step 5: Solve for x
    x = 21,480,227,156.22/175,415.80
  6. Step 6: Final answer
    x = 122,453.21

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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.