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Finding the Fourth Proportional to 75,903.98, 113,856.30 and 31,530.69

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Solution

The fourth proportional to 75,903.98, 113,856.30 and 31,530.69 is: 47,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,903.98 : 113,856.30 = 31,530.69 : x
  2. Step 2: Convert to fraction form
    75,903.98/113,856.30 = 31,530.69/x
  3. Step 3: Cross multiply
    75,903.98x = 113,856.30 × 31,530.69
  4. Step 4: Simplify right side
    75,903.98x = 3,589,967,699.85
  5. Step 5: Solve for x
    x = 3,589,967,699.85/75,903.98
  6. Step 6: Final answer
    x = 47,296.18

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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.