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Finding the Fourth Proportional to 78,585.31, 117,874.80 and 19,419.43

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Solution

The fourth proportional to 78,585.31, 117,874.80 and 19,419.43 is: 29,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,585.31 : 117,874.80 = 19,419.43 : x
  2. Step 2: Convert to fraction form
    78,585.31/117,874.80 = 19,419.43/x
  3. Step 3: Cross multiply
    78,585.31x = 117,874.80 × 19,419.43
  4. Step 4: Simplify right side
    78,585.31x = 2,289,061,427.36
  5. Step 5: Solve for x
    x = 2,289,061,427.36/78,585.31
  6. Step 6: Final answer
    x = 29,128.36

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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.