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Finding the Fourth Proportional to 78,480.64, 117,709.44 and 25,883.38

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Solution

The fourth proportional to 78,480.64, 117,709.44 and 25,883.38 is: 38,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480.64 : 117,709.44 = 25,883.38 : x
  2. Step 2: Convert to fraction form
    78,480.64/117,709.44 = 25,883.38/x
  3. Step 3: Cross multiply
    78,480.64x = 117,709.44 × 25,883.38
  4. Step 4: Simplify right side
    78,480.64x = 3,046,718,165.11
  5. Step 5: Solve for x
    x = 3,046,718,165.11/78,480.64
  6. Step 6: Final answer
    x = 38,821.27

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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.