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Finding the Fourth Proportional to 140,901.44, 211,290.72 and 53,288

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Solution

The fourth proportional to 140,901.44, 211,290.72 and 53,288 is: 79,908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,901.44 : 211,290.72 = 53,288 : x
  2. Step 2: Convert to fraction form
    140,901.44/211,290.72 = 53,288/x
  3. Step 3: Cross multiply
    140,901.44x = 211,290.72 × 53,288
  4. Step 4: Simplify right side
    140,901.44x = 11,259,259,887.36
  5. Step 5: Solve for x
    x = 11,259,259,887.36/140,901.44
  6. Step 6: Final answer
    x = 79,908.76

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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.