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Finding the Fourth Proportional to 78,005.66, 117,007.86 and 40,546.40

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Solution

The fourth proportional to 78,005.66, 117,007.86 and 40,546.40 is: 60,819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.66 : 117,007.86 = 40,546.40 : x
  2. Step 2: Convert to fraction form
    78,005.66/117,007.86 = 40,546.40/x
  3. Step 3: Cross multiply
    78,005.66x = 117,007.86 × 40,546.40
  4. Step 4: Simplify right side
    78,005.66x = 4,744,247,494.70
  5. Step 5: Solve for x
    x = 4,744,247,494.70/78,005.66
  6. Step 6: Final answer
    x = 60,819.27

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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.