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Finding the Fourth Proportional to 56,700.56, 78,249.84 and 31,550.60

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Solution

The fourth proportional to 56,700.56, 78,249.84 and 31,550.60 is: 43,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,700.56 : 78,249.84 = 31,550.60 : x
  2. Step 2: Convert to fraction form
    56,700.56/78,249.84 = 31,550.60/x
  3. Step 3: Cross multiply
    56,700.56x = 78,249.84 × 31,550.60
  4. Step 4: Simplify right side
    56,700.56x = 2,468,829,401.90
  5. Step 5: Solve for x
    x = 2,468,829,401.90/56,700.56
  6. Step 6: Final answer
    x = 43,541.53

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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.