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Finding the Fourth Proportional to 127,309.80, 190,964.70 and 72,013.80

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Solution

The fourth proportional to 127,309.80, 190,964.70 and 72,013.80 is: 108,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,309.80 : 190,964.70 = 72,013.80 : x
  2. Step 2: Convert to fraction form
    127,309.80/190,964.70 = 72,013.80/x
  3. Step 3: Cross multiply
    127,309.80x = 190,964.70 × 72,013.80
  4. Step 4: Simplify right side
    127,309.80x = 13,752,093,712.86
  5. Step 5: Solve for x
    x = 13,752,093,712.86/127,309.80
  6. Step 6: Final answer
    x = 108,020.70

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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.