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Finding the Fourth Proportional to 71,414, 98,415.40 and 52,299.64

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Solution

The fourth proportional to 71,414, 98,415.40 and 52,299.64 is: 72,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,414 : 98,415.40 = 52,299.64 : x
  2. Step 2: Convert to fraction form
    71,414/98,415.40 = 52,299.64/x
  3. Step 3: Cross multiply
    71,414x = 98,415.40 × 52,299.64
  4. Step 4: Simplify right side
    71,414x = 5,147,089,990.46
  5. Step 5: Solve for x
    x = 5,147,089,990.46/71,414
  6. Step 6: Final answer
    x = 72,073.96

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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.