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Finding the Fourth Proportional to 56,908.63, 78,541.82 and 31,759.75

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Solution

The fourth proportional to 56,908.63, 78,541.82 and 31,759.75 is: 43,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,908.63 : 78,541.82 = 31,759.75 : x
  2. Step 2: Convert to fraction form
    56,908.63/78,541.82 = 31,759.75/x
  3. Step 3: Cross multiply
    56,908.63x = 78,541.82 × 31,759.75
  4. Step 4: Simplify right side
    56,908.63x = 2,494,468,567.75
  5. Step 5: Solve for x
    x = 2,494,468,567.75/56,908.63
  6. Step 6: Final answer
    x = 43,832.87

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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.