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Finding the Fourth Proportional to 98,078.31, 135,402.44 and 67,495.95

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Solution

The fourth proportional to 98,078.31, 135,402.44 and 67,495.95 is: 93,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,078.31 : 135,402.44 = 67,495.95 : x
  2. Step 2: Convert to fraction form
    98,078.31/135,402.44 = 67,495.95/x
  3. Step 3: Cross multiply
    98,078.31x = 135,402.44 × 67,495.95
  4. Step 4: Simplify right side
    98,078.31x = 9,139,115,982.64
  5. Step 5: Solve for x
    x = 9,139,115,982.64/98,078.31
  6. Step 6: Final answer
    x = 93,181.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.