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Finding the Fourth Proportional to 92,495.80, 138,743.70 and 82,646.20

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Solution

The fourth proportional to 92,495.80, 138,743.70 and 82,646.20 is: 123,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,495.80 : 138,743.70 = 82,646.20 : x
  2. Step 2: Convert to fraction form
    92,495.80/138,743.70 = 82,646.20/x
  3. Step 3: Cross multiply
    92,495.80x = 138,743.70 × 82,646.20
  4. Step 4: Simplify right side
    92,495.80x = 11,466,639,578.94
  5. Step 5: Solve for x
    x = 11,466,639,578.94/92,495.80
  6. Step 6: Final answer
    x = 123,969.30

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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.