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Finding the Fourth Proportional to 97,959.52, 135,195.31 and 66,193.35

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Solution

The fourth proportional to 97,959.52, 135,195.31 and 66,193.35 is: 91,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,959.52 : 135,195.31 = 66,193.35 : x
  2. Step 2: Convert to fraction form
    97,959.52/135,195.31 = 66,193.35/x
  3. Step 3: Cross multiply
    97,959.52x = 135,195.31 × 66,193.35
  4. Step 4: Simplify right side
    97,959.52x = 8,949,030,473.19
  5. Step 5: Solve for x
    x = 8,949,030,473.19/97,959.52
  6. Step 6: Final answer
    x = 91,354.37

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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.