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Finding the Fourth Proportional to 56,716.44, 78,278.40 and 32,857.80

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Solution

The fourth proportional to 56,716.44, 78,278.40 and 32,857.80 is: 45,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,716.44 : 78,278.40 = 32,857.80 : x
  2. Step 2: Convert to fraction form
    56,716.44/78,278.40 = 32,857.80/x
  3. Step 3: Cross multiply
    56,716.44x = 78,278.40 × 32,857.80
  4. Step 4: Simplify right side
    56,716.44x = 2,572,056,011.52
  5. Step 5: Solve for x
    x = 2,572,056,011.52/56,716.44
  6. Step 6: Final answer
    x = 45,349.39

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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.