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Finding the Fourth Proportional to 144,765.76, 199,782.48 and 81,104.08

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Solution

The fourth proportional to 144,765.76, 199,782.48 and 81,104.08 is: 111,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,765.76 : 199,782.48 = 81,104.08 : x
  2. Step 2: Convert to fraction form
    144,765.76/199,782.48 = 81,104.08/x
  3. Step 3: Cross multiply
    144,765.76x = 199,782.48 × 81,104.08
  4. Step 4: Simplify right side
    144,765.76x = 16,203,174,240.52
  5. Step 5: Solve for x
    x = 16,203,174,240.52/144,765.76
  6. Step 6: Final answer
    x = 111,926.84

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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.