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Finding the Fourth Proportional to 78,480.96, 117,718.81 and 34,107.72

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Solution

The fourth proportional to 78,480.96, 117,718.81 and 34,107.72 is: 51,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480.96 : 117,718.81 = 34,107.72 : x
  2. Step 2: Convert to fraction form
    78,480.96/117,718.81 = 34,107.72/x
  3. Step 3: Cross multiply
    78,480.96x = 117,718.81 × 34,107.72
  4. Step 4: Simplify right side
    78,480.96x = 4,015,120,210.21
  5. Step 5: Solve for x
    x = 4,015,120,210.21/78,480.96
  6. Step 6: Final answer
    x = 51,160.44

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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.