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Finding the Fourth Proportional to 56,408.92, 77,847.42 and 31,257.88

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Solution

The fourth proportional to 56,408.92, 77,847.42 and 31,257.88 is: 43,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,408.92 : 77,847.42 = 31,257.88 : x
  2. Step 2: Convert to fraction form
    56,408.92/77,847.42 = 31,257.88/x
  3. Step 3: Cross multiply
    56,408.92x = 77,847.42 × 31,257.88
  4. Step 4: Simplify right side
    56,408.92x = 2,433,345,312.67
  5. Step 5: Solve for x
    x = 2,433,345,312.67/56,408.92
  6. Step 6: Final answer
    x = 43,137.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.