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Finding the Fourth Proportional to 71,270.40, 106,905.60 and 34,406.40

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Solution

The fourth proportional to 71,270.40, 106,905.60 and 34,406.40 is: 51,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,270.40 : 106,905.60 = 34,406.40 : x
  2. Step 2: Convert to fraction form
    71,270.40/106,905.60 = 34,406.40/x
  3. Step 3: Cross multiply
    71,270.40x = 106,905.60 × 34,406.40
  4. Step 4: Simplify right side
    71,270.40x = 3,678,236,835.84
  5. Step 5: Solve for x
    x = 3,678,236,835.84/71,270.40
  6. Step 6: Final answer
    x = 51,609.60

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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.