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Finding the Fourth Proportional to 106,518.73, 159,625.82 and 78,216.73

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Solution

The fourth proportional to 106,518.73, 159,625.82 and 78,216.73 is: 117,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,518.73 : 159,625.82 = 78,216.73 : x
  2. Step 2: Convert to fraction form
    106,518.73/159,625.82 = 78,216.73/x
  3. Step 3: Cross multiply
    106,518.73x = 159,625.82 × 78,216.73
  4. Step 4: Simplify right side
    106,518.73x = 12,485,409,663.97
  5. Step 5: Solve for x
    x = 12,485,409,663.97/106,518.73
  6. Step 6: Final answer
    x = 117,213.28

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1.5x scale

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.