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Finding the Fourth Proportional to 105,954.98, 158,784.69 and 79,628.90

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Solution

The fourth proportional to 105,954.98, 158,784.69 and 79,628.90 is: 119,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,954.98 : 158,784.69 = 79,628.90 : x
  2. Step 2: Convert to fraction form
    105,954.98/158,784.69 = 79,628.90/x
  3. Step 3: Cross multiply
    105,954.98x = 158,784.69 × 79,628.90
  4. Step 4: Simplify right side
    105,954.98x = 12,643,850,201.54
  5. Step 5: Solve for x
    x = 12,643,850,201.54/105,954.98
  6. Step 6: Final answer
    x = 119,332.29

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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.