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Finding the Fourth Proportional to 78,202.58, 117,209.82 and 36,024.66

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Solution

The fourth proportional to 78,202.58, 117,209.82 and 36,024.66 is: 53,993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202.58 : 117,209.82 = 36,024.66 : x
  2. Step 2: Convert to fraction form
    78,202.58/117,209.82 = 36,024.66/x
  3. Step 3: Cross multiply
    78,202.58x = 117,209.82 × 36,024.66
  4. Step 4: Simplify right side
    78,202.58x = 4,222,443,914.16
  5. Step 5: Solve for x
    x = 4,222,443,914.16/78,202.58
  6. Step 6: Final answer
    x = 53,993.67

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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.