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Finding the Fourth Proportional to 56,538, 78,022.44 and 31,387.68

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Solution

The fourth proportional to 56,538, 78,022.44 and 31,387.68 is: 43,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,538 : 78,022.44 = 31,387.68 : x
  2. Step 2: Convert to fraction form
    56,538/78,022.44 = 31,387.68/x
  3. Step 3: Cross multiply
    56,538x = 78,022.44 × 31,387.68
  4. Step 4: Simplify right side
    56,538x = 2,448,943,379.54
  5. Step 5: Solve for x
    x = 2,448,943,379.54/56,538
  6. Step 6: Final answer
    x = 43,315.00

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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.