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Finding the Fourth Proportional to 78,219.72, 117,358.98 and 36,120

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Solution

The fourth proportional to 78,219.72, 117,358.98 and 36,120 is: 54,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,219.72 : 117,358.98 = 36,120 : x
  2. Step 2: Convert to fraction form
    78,219.72/117,358.98 = 36,120/x
  3. Step 3: Cross multiply
    78,219.72x = 117,358.98 × 36,120
  4. Step 4: Simplify right side
    78,219.72x = 4,239,006,357.60
  5. Step 5: Solve for x
    x = 4,239,006,357.60/78,219.72
  6. Step 6: Final answer
    x = 54,193.58

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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.