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Finding the Fourth Proportional to 78,358.80, 117,553.08 and 25,783.44

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Solution

The fourth proportional to 78,358.80, 117,553.08 and 25,783.44 is: 38,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,358.80 : 117,553.08 = 25,783.44 : x
  2. Step 2: Convert to fraction form
    78,358.80/117,553.08 = 25,783.44/x
  3. Step 3: Cross multiply
    78,358.80x = 117,553.08 × 25,783.44
  4. Step 4: Simplify right side
    78,358.80x = 3,030,922,785.00
  5. Step 5: Solve for x
    x = 3,030,922,785.00/78,358.80
  6. Step 6: Final answer
    x = 38,680.06

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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.