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Finding the Fourth Proportional to 78,339.60, 117,528.84 and 36,738

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Solution

The fourth proportional to 78,339.60, 117,528.84 and 36,738 is: 55,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,339.60 : 117,528.84 = 36,738 : x
  2. Step 2: Convert to fraction form
    78,339.60/117,528.84 = 36,738/x
  3. Step 3: Cross multiply
    78,339.60x = 117,528.84 × 36,738
  4. Step 4: Simplify right side
    78,339.60x = 4,317,774,523.92
  5. Step 5: Solve for x
    x = 4,317,774,523.92/78,339.60
  6. Step 6: Final answer
    x = 55,116.12

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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.