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Finding the Fourth Proportional to 70,744, 97,626.72 and 40,936

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Solution

The fourth proportional to 70,744, 97,626.72 and 40,936 is: 56,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,744 : 97,626.72 = 40,936 : x
  2. Step 2: Convert to fraction form
    70,744/97,626.72 = 40,936/x
  3. Step 3: Cross multiply
    70,744x = 97,626.72 × 40,936
  4. Step 4: Simplify right side
    70,744x = 3,996,447,409.92
  5. Step 5: Solve for x
    x = 3,996,447,409.92/70,744
  6. Step 6: Final answer
    x = 56,491.68

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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.