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Finding the Fourth Proportional to 78,337.60, 117,525.84 and 36,736

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Solution

The fourth proportional to 78,337.60, 117,525.84 and 36,736 is: 55,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,337.60 : 117,525.84 = 36,736 : x
  2. Step 2: Convert to fraction form
    78,337.60/117,525.84 = 36,736/x
  3. Step 3: Cross multiply
    78,337.60x = 117,525.84 × 36,736
  4. Step 4: Simplify right side
    78,337.60x = 4,317,429,258.24
  5. Step 5: Solve for x
    x = 4,317,429,258.24/78,337.60
  6. Step 6: Final answer
    x = 55,113.12

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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.