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Finding the Fourth Proportional to 78,134.85, 117,201.41 and 18,970.49

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Solution

The fourth proportional to 78,134.85, 117,201.41 and 18,970.49 is: 28,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134.85 : 117,201.41 = 18,970.49 : x
  2. Step 2: Convert to fraction form
    78,134.85/117,201.41 = 18,970.49/x
  3. Step 3: Cross multiply
    78,134.85x = 117,201.41 × 18,970.49
  4. Step 4: Simplify right side
    78,134.85x = 2,223,368,176.39
  5. Step 5: Solve for x
    x = 2,223,368,176.39/78,134.85
  6. Step 6: Final answer
    x = 28,455.52

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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.