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Finding the Fourth Proportional to 55,978.86, 77,249.43 and 31,784.34

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Solution

The fourth proportional to 55,978.86, 77,249.43 and 31,784.34 is: 43,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,978.86 : 77,249.43 = 31,784.34 : x
  2. Step 2: Convert to fraction form
    55,978.86/77,249.43 = 31,784.34/x
  3. Step 3: Cross multiply
    55,978.86x = 77,249.43 × 31,784.34
  4. Step 4: Simplify right side
    55,978.86x = 2,455,322,147.93
  5. Step 5: Solve for x
    x = 2,455,322,147.93/55,978.86
  6. Step 6: Final answer
    x = 43,861.60

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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.