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Finding the Fourth Proportional to 78,364.40, 117,546.60 and 19,200.65

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Solution

The fourth proportional to 78,364.40, 117,546.60 and 19,200.65 is: 28,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,364.40 : 117,546.60 = 19,200.65 : x
  2. Step 2: Convert to fraction form
    78,364.40/117,546.60 = 19,200.65/x
  3. Step 3: Cross multiply
    78,364.40x = 117,546.60 × 19,200.65
  4. Step 4: Simplify right side
    78,364.40x = 2,256,971,125.29
  5. Step 5: Solve for x
    x = 2,256,971,125.29/78,364.40
  6. Step 6: Final answer
    x = 28,800.98

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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.