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Finding the Fourth Proportional to 127,003.80, 190,311.30 and 120,005.40

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Solution

The fourth proportional to 127,003.80, 190,311.30 and 120,005.40 is: 179,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,003.80 : 190,311.30 = 120,005.40 : x
  2. Step 2: Convert to fraction form
    127,003.80/190,311.30 = 120,005.40/x
  3. Step 3: Cross multiply
    127,003.80x = 190,311.30 × 120,005.40
  4. Step 4: Simplify right side
    127,003.80x = 22,838,383,681.02
  5. Step 5: Solve for x
    x = 22,838,383,681.02/127,003.80
  6. Step 6: Final answer
    x = 179,824.41

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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.