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Finding the Fourth Proportional to 78,325.64, 117,490.73 and 19,161.29

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Solution

The fourth proportional to 78,325.64, 117,490.73 and 19,161.29 is: 28,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,325.64 : 117,490.73 = 19,161.29 : x
  2. Step 2: Convert to fraction form
    78,325.64/117,490.73 = 19,161.29/x
  3. Step 3: Cross multiply
    78,325.64x = 117,490.73 × 19,161.29
  4. Step 4: Simplify right side
    78,325.64x = 2,251,273,362.39
  5. Step 5: Solve for x
    x = 2,251,273,362.39/78,325.64
  6. Step 6: Final answer
    x = 28,742.48

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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.