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Finding the Fourth Proportional to 127,671.40, 191,507.10 and 113,893.30

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Solution

The fourth proportional to 127,671.40, 191,507.10 and 113,893.30 is: 170,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,671.40 : 191,507.10 = 113,893.30 : x
  2. Step 2: Convert to fraction form
    127,671.40/191,507.10 = 113,893.30/x
  3. Step 3: Cross multiply
    127,671.40x = 191,507.10 × 113,893.30
  4. Step 4: Simplify right side
    127,671.40x = 21,811,375,592.43
  5. Step 5: Solve for x
    x = 21,811,375,592.43/127,671.40
  6. Step 6: Final answer
    x = 170,839.95

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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.