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Finding the Fourth Proportional to 127,966.30, 191,704.65 and 68,782.30

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Solution

The fourth proportional to 127,966.30, 191,704.65 and 68,782.30 is: 103,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,966.30 : 191,704.65 = 68,782.30 : x
  2. Step 2: Convert to fraction form
    127,966.30/191,704.65 = 68,782.30/x
  3. Step 3: Cross multiply
    127,966.30x = 191,704.65 × 68,782.30
  4. Step 4: Simplify right side
    127,966.30x = 13,185,886,747.70
  5. Step 5: Solve for x
    x = 13,185,886,747.70/127,966.30
  6. Step 6: Final answer
    x = 103,041.87

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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.