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Finding the Fourth Proportional to 84,175.30, 126,032.55 and 65,743.30

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Solution

The fourth proportional to 84,175.30, 126,032.55 and 65,743.30 is: 98,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,175.30 : 126,032.55 = 65,743.30 : x
  2. Step 2: Convert to fraction form
    84,175.30/126,032.55 = 65,743.30/x
  3. Step 3: Cross multiply
    84,175.30x = 126,032.55 × 65,743.30
  4. Step 4: Simplify right side
    84,175.30x = 8,285,795,744.42
  5. Step 5: Solve for x
    x = 8,285,795,744.42/84,175.30
  6. Step 6: Final answer
    x = 98,435.00

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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.