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Finding the Fourth Proportional to 56,714.88, 78,266.56 and 31,563.84

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Solution

The fourth proportional to 56,714.88, 78,266.56 and 31,563.84 is: 43,558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,714.88 : 78,266.56 = 31,563.84 : x
  2. Step 2: Convert to fraction form
    56,714.88/78,266.56 = 31,563.84/x
  3. Step 3: Cross multiply
    56,714.88x = 78,266.56 × 31,563.84
  4. Step 4: Simplify right side
    56,714.88x = 2,470,393,177.19
  5. Step 5: Solve for x
    x = 2,470,393,177.19/56,714.88
  6. Step 6: Final answer
    x = 43,558.11

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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.