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Finding the Fourth Proportional to 127,909.85, 191,782.73 and 53,081.64

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Solution

The fourth proportional to 127,909.85, 191,782.73 and 53,081.64 is: 79,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,909.85 : 191,782.73 = 53,081.64 : x
  2. Step 2: Convert to fraction form
    127,909.85/191,782.73 = 53,081.64/x
  3. Step 3: Cross multiply
    127,909.85x = 191,782.73 × 53,081.64
  4. Step 4: Simplify right side
    127,909.85x = 10,180,141,964.78
  5. Step 5: Solve for x
    x = 10,180,141,964.78/127,909.85
  6. Step 6: Final answer
    x = 79,588.42

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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.