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Finding the Fourth Proportional to 260,771.10, 391,156.65 and 127,671.90

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Solution

The fourth proportional to 260,771.10, 391,156.65 and 127,671.90 is: 191,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,771.10 : 391,156.65 = 127,671.90 : x
  2. Step 2: Convert to fraction form
    260,771.10/391,156.65 = 127,671.90/x
  3. Step 3: Cross multiply
    260,771.10x = 391,156.65 × 127,671.90
  4. Step 4: Simplify right side
    260,771.10x = 49,939,712,703.14
  5. Step 5: Solve for x
    x = 49,939,712,703.14/260,771.10
  6. Step 6: Final answer
    x = 191,507.85

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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.