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Finding the Fourth Proportional to 56,840.52, 78,441.78 and 31,348

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Solution

The fourth proportional to 56,840.52, 78,441.78 and 31,348 is: 43,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,840.52 : 78,441.78 = 31,348 : x
  2. Step 2: Convert to fraction form
    56,840.52/78,441.78 = 31,348/x
  3. Step 3: Cross multiply
    56,840.52x = 78,441.78 × 31,348
  4. Step 4: Simplify right side
    56,840.52x = 2,458,992,919.44
  5. Step 5: Solve for x
    x = 2,458,992,919.44/56,840.52
  6. Step 6: Final answer
    x = 43,261.27

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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.