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Finding the Fourth Proportional to 127,431.30, 191,037.60 and 65,101.80

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Solution

The fourth proportional to 127,431.30, 191,037.60 and 65,101.80 is: 97,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,431.30 : 191,037.60 = 65,101.80 : x
  2. Step 2: Convert to fraction form
    127,431.30/191,037.60 = 65,101.80/x
  3. Step 3: Cross multiply
    127,431.30x = 191,037.60 × 65,101.80
  4. Step 4: Simplify right side
    127,431.30x = 12,436,891,627.68
  5. Step 5: Solve for x
    x = 12,436,891,627.68/127,431.30
  6. Step 6: Final answer
    x = 97,596.84

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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.