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Finding the Fourth Proportional to 56,858.68, 78,464 and 31,367.48

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Solution

The fourth proportional to 56,858.68, 78,464 and 31,367.48 is: 43,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,858.68 : 78,464 = 31,367.48 : x
  2. Step 2: Convert to fraction form
    56,858.68/78,464 = 31,367.48/x
  3. Step 3: Cross multiply
    56,858.68x = 78,464 × 31,367.48
  4. Step 4: Simplify right side
    56,858.68x = 2,461,217,950.72
  5. Step 5: Solve for x
    x = 2,461,217,950.72/56,858.68
  6. Step 6: Final answer
    x = 43,286.59

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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.