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Finding the Fourth Proportional to 106,457.76, 159,797.41 and 78,409.49

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Solution

The fourth proportional to 106,457.76, 159,797.41 and 78,409.49 is: 117,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,457.76 : 159,797.41 = 78,409.49 : x
  2. Step 2: Convert to fraction form
    106,457.76/159,797.41 = 78,409.49/x
  3. Step 3: Cross multiply
    106,457.76x = 159,797.41 × 78,409.49
  4. Step 4: Simplify right side
    106,457.76x = 12,529,632,426.41
  5. Step 5: Solve for x
    x = 12,529,632,426.41/106,457.76
  6. Step 6: Final answer
    x = 117,695.81

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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.