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Finding the Fourth Proportional to 75,879, 113,740.74 and 31,531.50

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Solution

The fourth proportional to 75,879, 113,740.74 and 31,531.50 is: 47,264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,879 : 113,740.74 = 31,531.50 : x
  2. Step 2: Convert to fraction form
    75,879/113,740.74 = 31,531.50/x
  3. Step 3: Cross multiply
    75,879x = 113,740.74 × 31,531.50
  4. Step 4: Simplify right side
    75,879x = 3,586,416,143.31
  5. Step 5: Solve for x
    x = 3,586,416,143.31/75,879
  6. Step 6: Final answer
    x = 47,264.94

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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.