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Finding the Fourth Proportional to 57,878.70, 86,907.15 and 31,634.70

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Solution

The fourth proportional to 57,878.70, 86,907.15 and 31,634.70 is: 47,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878.70 : 86,907.15 = 31,634.70 : x
  2. Step 2: Convert to fraction form
    57,878.70/86,907.15 = 31,634.70/x
  3. Step 3: Cross multiply
    57,878.70x = 86,907.15 × 31,634.70
  4. Step 4: Simplify right side
    57,878.70x = 2,749,281,618.11
  5. Step 5: Solve for x
    x = 2,749,281,618.11/57,878.70
  6. Step 6: Final answer
    x = 47,500.75

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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.