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Finding the Fourth Proportional to 252,057.60, 347,835.60 and 138,884.40

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Solution

The fourth proportional to 252,057.60, 347,835.60 and 138,884.40 is: 191,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,057.60 : 347,835.60 = 138,884.40 : x
  2. Step 2: Convert to fraction form
    252,057.60/347,835.60 = 138,884.40/x
  3. Step 3: Cross multiply
    252,057.60x = 347,835.60 × 138,884.40
  4. Step 4: Simplify right side
    252,057.60x = 48,308,938,604.64
  5. Step 5: Solve for x
    x = 48,308,938,604.64/252,057.60
  6. Step 6: Final answer
    x = 191,658.33

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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.