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Finding the Fourth Proportional to 271,820.45, 407,698.98 and 72,156.35

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Solution

The fourth proportional to 271,820.45, 407,698.98 and 72,156.35 is: 108,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,820.45 : 407,698.98 = 72,156.35 : x
  2. Step 2: Convert to fraction form
    271,820.45/407,698.98 = 72,156.35/x
  3. Step 3: Cross multiply
    271,820.45x = 407,698.98 × 72,156.35
  4. Step 4: Simplify right side
    271,820.45x = 29,418,070,295.52
  5. Step 5: Solve for x
    x = 29,418,070,295.52/271,820.45
  6. Step 6: Final answer
    x = 108,226.11

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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.