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Finding the Fourth Proportional to 140,517.88, 210,859.98 and 51,833.72

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Solution

The fourth proportional to 140,517.88, 210,859.98 and 51,833.72 is: 77,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,517.88 : 210,859.98 = 51,833.72 : x
  2. Step 2: Convert to fraction form
    140,517.88/210,859.98 = 51,833.72/x
  3. Step 3: Cross multiply
    140,517.88x = 210,859.98 × 51,833.72
  4. Step 4: Simplify right side
    140,517.88x = 10,929,657,162.53
  5. Step 5: Solve for x
    x = 10,929,657,162.53/140,517.88
  6. Step 6: Final answer
    x = 77,781.26

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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.