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Finding the Fourth Proportional to 70,419.75, 97,179.26 and 40,611.75

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Solution

The fourth proportional to 70,419.75, 97,179.26 and 40,611.75 is: 56,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,419.75 : 97,179.26 = 40,611.75 : x
  2. Step 2: Convert to fraction form
    70,419.75/97,179.26 = 40,611.75/x
  3. Step 3: Cross multiply
    70,419.75x = 97,179.26 × 40,611.75
  4. Step 4: Simplify right side
    70,419.75x = 3,946,619,812.31
  5. Step 5: Solve for x
    x = 3,946,619,812.31/70,419.75
  6. Step 6: Final answer
    x = 56,044.22

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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.