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Finding the Fourth Proportional to 140,687.64, 194,147.73 and 76,156.56

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Solution

The fourth proportional to 140,687.64, 194,147.73 and 76,156.56 is: 105,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,687.64 : 194,147.73 = 76,156.56 : x
  2. Step 2: Convert to fraction form
    140,687.64/194,147.73 = 76,156.56/x
  3. Step 3: Cross multiply
    140,687.64x = 194,147.73 × 76,156.56
  4. Step 4: Simplify right side
    140,687.64x = 14,785,623,248.61
  5. Step 5: Solve for x
    x = 14,785,623,248.61/140,687.64
  6. Step 6: Final answer
    x = 105,095.40

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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.