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Finding the Fourth Proportional to 140,771.94, 211,189.05 and 77,559.51

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Solution

The fourth proportional to 140,771.94, 211,189.05 and 77,559.51 is: 116,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,771.94 : 211,189.05 = 77,559.51 : x
  2. Step 2: Convert to fraction form
    140,771.94/211,189.05 = 77,559.51/x
  3. Step 3: Cross multiply
    140,771.94x = 211,189.05 × 77,559.51
  4. Step 4: Simplify right side
    140,771.94x = 16,379,719,235.37
  5. Step 5: Solve for x
    x = 16,379,719,235.37/140,771.94
  6. Step 6: Final answer
    x = 116,356.42

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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.