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Finding the Fourth Proportional to 56,846.26, 78,446.77 and 31,355

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Solution

The fourth proportional to 56,846.26, 78,446.77 and 31,355 is: 43,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,846.26 : 78,446.77 = 31,355 : x
  2. Step 2: Convert to fraction form
    56,846.26/78,446.77 = 31,355/x
  3. Step 3: Cross multiply
    56,846.26x = 78,446.77 × 31,355
  4. Step 4: Simplify right side
    56,846.26x = 2,459,698,473.35
  5. Step 5: Solve for x
    x = 2,459,698,473.35/56,846.26
  6. Step 6: Final answer
    x = 43,269.31

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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.