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Finding the Fourth Proportional to 101,913.60, 140,613.12 and 57,200.64

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Solution

The fourth proportional to 101,913.60, 140,613.12 and 57,200.64 is: 78,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,913.60 : 140,613.12 = 57,200.64 : x
  2. Step 2: Convert to fraction form
    101,913.60/140,613.12 = 57,200.64/x
  3. Step 3: Cross multiply
    101,913.60x = 140,613.12 × 57,200.64
  4. Step 4: Simplify right side
    101,913.60x = 8,043,160,456.40
  5. Step 5: Solve for x
    x = 8,043,160,456.40/101,913.60
  6. Step 6: Final answer
    x = 78,921.37

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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.