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Finding the Fourth Proportional to 140,952, 194,513.76 and 81,370.56

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Solution

The fourth proportional to 140,952, 194,513.76 and 81,370.56 is: 112,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,952 : 194,513.76 = 81,370.56 : x
  2. Step 2: Convert to fraction form
    140,952/194,513.76 = 81,370.56/x
  3. Step 3: Cross multiply
    140,952x = 194,513.76 × 81,370.56
  4. Step 4: Simplify right side
    140,952x = 15,827,693,578.91
  5. Step 5: Solve for x
    x = 15,827,693,578.91/140,952
  6. Step 6: Final answer
    x = 112,291.37

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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.