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Finding the Fourth Proportional to 78,100.92, 117,079.68 and 28,169.28

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Solution

The fourth proportional to 78,100.92, 117,079.68 and 28,169.28 is: 42,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100.92 : 117,079.68 = 28,169.28 : x
  2. Step 2: Convert to fraction form
    78,100.92/117,079.68 = 28,169.28/x
  3. Step 3: Cross multiply
    78,100.92x = 117,079.68 × 28,169.28
  4. Step 4: Simplify right side
    78,100.92x = 3,298,050,288.23
  5. Step 5: Solve for x
    x = 3,298,050,288.23/78,100.92
  6. Step 6: Final answer
    x = 42,228.06

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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.