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Finding the Fourth Proportional to 70,814.30, 97,720.81 and 40,578.57

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Solution

The fourth proportional to 70,814.30, 97,720.81 and 40,578.57 is: 55,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,814.30 : 97,720.81 = 40,578.57 : x
  2. Step 2: Convert to fraction form
    70,814.30/97,720.81 = 40,578.57/x
  3. Step 3: Cross multiply
    70,814.30x = 97,720.81 × 40,578.57
  4. Step 4: Simplify right side
    70,814.30x = 3,965,370,627.60
  5. Step 5: Solve for x
    x = 3,965,370,627.60/70,814.30
  6. Step 6: Final answer
    x = 55,996.75

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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.