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Finding the Fourth Proportional to 120,429.22, 180,520.81 and 78,393.71

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Solution

The fourth proportional to 120,429.22, 180,520.81 and 78,393.71 is: 117,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,429.22 : 180,520.81 = 78,393.71 : x
  2. Step 2: Convert to fraction form
    120,429.22/180,520.81 = 78,393.71/x
  3. Step 3: Cross multiply
    120,429.22x = 180,520.81 × 78,393.71
  4. Step 4: Simplify right side
    120,429.22x = 14,151,696,028.11
  5. Step 5: Solve for x
    x = 14,151,696,028.11/120,429.22
  6. Step 6: Final answer
    x = 117,510.48

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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.