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Finding the Fourth Proportional to 140,978.20, 211,418.11 and 56,716.51

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Solution

The fourth proportional to 140,978.20, 211,418.11 and 56,716.51 is: 85,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,978.20 : 211,418.11 = 56,716.51 : x
  2. Step 2: Convert to fraction form
    140,978.20/211,418.11 = 56,716.51/x
  3. Step 3: Cross multiply
    140,978.20x = 211,418.11 × 56,716.51
  4. Step 4: Simplify right side
    140,978.20x = 11,990,897,350.00
  5. Step 5: Solve for x
    x = 11,990,897,350.00/140,978.20
  6. Step 6: Final answer
    x = 85,054.98

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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.