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Finding the Fourth Proportional to 75,889.40, 113,866.92 and 29,131.40

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Solution

The fourth proportional to 75,889.40, 113,866.92 and 29,131.40 is: 43,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,889.40 : 113,866.92 = 29,131.40 : x
  2. Step 2: Convert to fraction form
    75,889.40/113,866.92 = 29,131.40/x
  3. Step 3: Cross multiply
    75,889.40x = 113,866.92 × 29,131.40
  4. Step 4: Simplify right side
    75,889.40x = 3,317,102,793.29
  5. Step 5: Solve for x
    x = 3,317,102,793.29/75,889.40
  6. Step 6: Final answer
    x = 43,709.70

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1.5x scale

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.