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Finding the Fourth Proportional to 140,754.88, 194,233.44 and 77,080

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Solution

The fourth proportional to 140,754.88, 194,233.44 and 77,080 is: 106,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,754.88 : 194,233.44 = 77,080 : x
  2. Step 2: Convert to fraction form
    140,754.88/194,233.44 = 77,080/x
  3. Step 3: Cross multiply
    140,754.88x = 194,233.44 × 77,080
  4. Step 4: Simplify right side
    140,754.88x = 14,971,513,555.20
  5. Step 5: Solve for x
    x = 14,971,513,555.20/140,754.88
  6. Step 6: Final answer
    x = 106,365.86

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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.