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Finding the Fourth Proportional to 141,036, 194,629.68 and 81,420

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Solution

The fourth proportional to 141,036, 194,629.68 and 81,420 is: 112,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,036 : 194,629.68 = 81,420 : x
  2. Step 2: Convert to fraction form
    141,036/194,629.68 = 81,420/x
  3. Step 3: Cross multiply
    141,036x = 194,629.68 × 81,420
  4. Step 4: Simplify right side
    141,036x = 15,846,748,545.60
  5. Step 5: Solve for x
    x = 15,846,748,545.60/141,036
  6. Step 6: Final answer
    x = 112,359.60

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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.