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Finding the Fourth Proportional to 75,636.80, 113,422.80 and 31,248.80

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Solution

The fourth proportional to 75,636.80, 113,422.80 and 31,248.80 is: 46,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,636.80 : 113,422.80 = 31,248.80 : x
  2. Step 2: Convert to fraction form
    75,636.80/113,422.80 = 31,248.80/x
  3. Step 3: Cross multiply
    75,636.80x = 113,422.80 × 31,248.80
  4. Step 4: Simplify right side
    75,636.80x = 3,544,326,392.64
  5. Step 5: Solve for x
    x = 3,544,326,392.64/75,636.80
  6. Step 6: Final answer
    x = 46,859.81

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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.