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Finding the Fourth Proportional to 78,563.21, 117,845.06 and 19,398.89

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Solution

The fourth proportional to 78,563.21, 117,845.06 and 19,398.89 is: 29,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,563.21 : 117,845.06 = 19,398.89 : x
  2. Step 2: Convert to fraction form
    78,563.21/117,845.06 = 19,398.89/x
  3. Step 3: Cross multiply
    78,563.21x = 117,845.06 × 19,398.89
  4. Step 4: Simplify right side
    78,563.21x = 2,286,062,669.76
  5. Step 5: Solve for x
    x = 2,286,062,669.76/78,563.21
  6. Step 6: Final answer
    x = 29,098.39

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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.