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Finding the Fourth Proportional to 71,706.70, 107,523.60 and 42,133.60

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Solution

The fourth proportional to 71,706.70, 107,523.60 and 42,133.60 is: 63,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,706.70 : 107,523.60 = 42,133.60 : x
  2. Step 2: Convert to fraction form
    71,706.70/107,523.60 = 42,133.60/x
  3. Step 3: Cross multiply
    71,706.70x = 107,523.60 × 42,133.60
  4. Step 4: Simplify right side
    71,706.70x = 4,530,356,352.96
  5. Step 5: Solve for x
    x = 4,530,356,352.96/71,706.70
  6. Step 6: Final answer
    x = 63,178.98

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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.