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Finding the Fourth Proportional to 75,310.40, 112,978.56 and 30,961.28

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Solution

The fourth proportional to 75,310.40, 112,978.56 and 30,961.28 is: 46,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,310.40 : 112,978.56 = 30,961.28 : x
  2. Step 2: Convert to fraction form
    75,310.40/112,978.56 = 30,961.28/x
  3. Step 3: Cross multiply
    75,310.40x = 112,978.56 × 30,961.28
  4. Step 4: Simplify right side
    75,310.40x = 3,497,960,830.16
  5. Step 5: Solve for x
    x = 3,497,960,830.16/75,310.40
  6. Step 6: Final answer
    x = 46,447.25

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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.