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Finding the Fourth Proportional to 136,693.80, 205,040.70 and 127,836.45

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Solution

The fourth proportional to 136,693.80, 205,040.70 and 127,836.45 is: 191,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,693.80 : 205,040.70 = 127,836.45 : x
  2. Step 2: Convert to fraction form
    136,693.80/205,040.70 = 127,836.45/x
  3. Step 3: Cross multiply
    136,693.80x = 205,040.70 × 127,836.45
  4. Step 4: Simplify right side
    136,693.80x = 26,211,675,193.52
  5. Step 5: Solve for x
    x = 26,211,675,193.52/136,693.80
  6. Step 6: Final answer
    x = 191,754.68

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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.