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Finding the Fourth Proportional to 57,214.76, 78,961.03 and 31,729.12

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Solution

The fourth proportional to 57,214.76, 78,961.03 and 31,729.12 is: 43,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,214.76 : 78,961.03 = 31,729.12 : x
  2. Step 2: Convert to fraction form
    57,214.76/78,961.03 = 31,729.12/x
  3. Step 3: Cross multiply
    57,214.76x = 78,961.03 × 31,729.12
  4. Step 4: Simplify right side
    57,214.76x = 2,505,363,719.47
  5. Step 5: Solve for x
    x = 2,505,363,719.47/57,214.76
  6. Step 6: Final answer
    x = 43,788.77

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1.5x scale

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.