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Finding the Fourth Proportional to 56,358.50, 77,774.73 and 31,208

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Solution

The fourth proportional to 56,358.50, 77,774.73 and 31,208 is: 43,067.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,358.50 : 77,774.73 = 31,208 : x
  2. Step 2: Convert to fraction form
    56,358.50/77,774.73 = 31,208/x
  3. Step 3: Cross multiply
    56,358.50x = 77,774.73 × 31,208
  4. Step 4: Simplify right side
    56,358.50x = 2,427,193,773.84
  5. Step 5: Solve for x
    x = 2,427,193,773.84/56,358.50
  6. Step 6: Final answer
    x = 43,067.04

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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.