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Finding the Fourth Proportional to 56,993.68, 78,650.80 and 31,501.80

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Solution

The fourth proportional to 56,993.68, 78,650.80 and 31,501.80 is: 43,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,993.68 : 78,650.80 = 31,501.80 : x
  2. Step 2: Convert to fraction form
    56,993.68/78,650.80 = 31,501.80/x
  3. Step 3: Cross multiply
    56,993.68x = 78,650.80 × 31,501.80
  4. Step 4: Simplify right side
    56,993.68x = 2,477,641,771.44
  5. Step 5: Solve for x
    x = 2,477,641,771.44/56,993.68
  6. Step 6: Final answer
    x = 43,472.22

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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.