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Finding the Fourth Proportional to 70,906.60, 106,230.30 and 57,687.40

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Solution

The fourth proportional to 70,906.60, 106,230.30 and 57,687.40 is: 86,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.60 : 106,230.30 = 57,687.40 : x
  2. Step 2: Convert to fraction form
    70,906.60/106,230.30 = 57,687.40/x
  3. Step 3: Cross multiply
    70,906.60x = 106,230.30 × 57,687.40
  4. Step 4: Simplify right side
    70,906.60x = 6,128,149,808.22
  5. Step 5: Solve for x
    x = 6,128,149,808.22/70,906.60
  6. Step 6: Final answer
    x = 86,425.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.