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Finding the Fourth Proportional to 56,448, 77,900.16 and 36,610.56

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Solution

The fourth proportional to 56,448, 77,900.16 and 36,610.56 is: 50,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,448 : 77,900.16 = 36,610.56 : x
  2. Step 2: Convert to fraction form
    56,448/77,900.16 = 36,610.56/x
  3. Step 3: Cross multiply
    56,448x = 77,900.16 × 36,610.56
  4. Step 4: Simplify right side
    56,448x = 2,851,968,481.69
  5. Step 5: Solve for x
    x = 2,851,968,481.69/56,448
  6. Step 6: Final answer
    x = 50,523.82

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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.