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Finding the Fourth Proportional to 56,884.78, 78,501.03 and 31,734.28

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Solution

The fourth proportional to 56,884.78, 78,501.03 and 31,734.28 is: 43,793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,884.78 : 78,501.03 = 31,734.28 : x
  2. Step 2: Convert to fraction form
    56,884.78/78,501.03 = 31,734.28/x
  3. Step 3: Cross multiply
    56,884.78x = 78,501.03 × 31,734.28
  4. Step 4: Simplify right side
    56,884.78x = 2,491,173,823.94
  5. Step 5: Solve for x
    x = 2,491,173,823.94/56,884.78
  6. Step 6: Final answer
    x = 43,793.33

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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.