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Finding the Fourth Proportional to 70,408.50, 97,139.81 and 40,172.10

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Solution

The fourth proportional to 70,408.50, 97,139.81 and 40,172.10 is: 55,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,408.50 : 97,139.81 = 40,172.10 : x
  2. Step 2: Convert to fraction form
    70,408.50/97,139.81 = 40,172.10/x
  3. Step 3: Cross multiply
    70,408.50x = 97,139.81 × 40,172.10
  4. Step 4: Simplify right side
    70,408.50x = 3,902,310,161.30
  5. Step 5: Solve for x
    x = 3,902,310,161.30/70,408.50
  6. Step 6: Final answer
    x = 55,423.85

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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.